MATHEMATICS TALKS LIST	2004
JANUARY
NSF sponsored Washington University-University & University of Zagreb program concentrating on Wavelets 3/15-19/2004 Room 199 - Kirk Seminar Room Hosts: Professor Guido Weiss and Professor Edward Wilson Washington University	Speakers will be listed below by dates of 3/15-19/2004	Titles will be listed below by dates of 3/15-19/2004
Continous information will be posted on this site to keep you up-to-date (please see below by dates of 3/15-19/2004 there are some Wavelet speakers already posted)
Organizational Meeting for Analysis Seminars Tuesday, 1/27/2004 4:00, Room 199 - Kirk Seminar Room	Organizer: Prof. John McCarthy
NSF sponsored Washington University-University & University of Zagreb program concentrating on Wavelets 3/15-19/2004 Room 199 - Kirk Seminar Room Hosts: Professor Guido Weiss and Professor Edward Wilson Washington University	Speakers will be listed below by dates of 3/15-19/2004	Titles will be listed below by dates of 3/15-19/2004
Continous information will be posted on this site to keep you up-to-date (please see below by dates of 3/15-19/2004 there are some Wavelet speakers already posted)
Major Oral Wednesday, 1/28/2004 4:00, Room 199 - Kirk Seminar Room Host: Prof. N.Mohan Kumar	Speaker: Zemin Zeng Washington University Graduate Student	Title: "Zero cycles and projective modules"
Abstract: Zemin will present Murthy's proof for the following theorem: Let $A$ be a reduced affine $k$-algebra of dimension $n$, where $k$ is algebraically closed field, Suppose $F^nK_0(A)$ has no $(n-1)!$-torsion. Let $p$ ba a projective A-module of rank $n$. Then $C_n(P)=0$ iff $P \simeq p'\bigoplus A$ for some $p'$.
Math Circles Wednesday, 1/28/2004 4:45, Room 218 Host: Prof. Steven Krantz	Speaker: Michael Hamm Washington University Graduate Student	Title: "Introduction to groups"
Colloquium Thursday, 1/29/2004 Time: Tea @4:00, Talk @4:30, Room 199 - Kirk Seminar Room Host: Assistant Prof. Zhengjun Zhang	Speaker: Prof. Siddhartha Chib Harry C. Hartkopf Professor of Econometrics & Statistics Washington University John M. Olin School of Business	Title: "Modeling and Analysis of Treatment-Response Data"
Abstract: In this paper we present models and Bayesian inferential techniques for analyzing observational treatment-response data. In the model formulations we assume that a binary instrumental variable is available, say from the design of the problem. Under this maintained assumption, Dirichlet process mixture models are outlined for continuous responses and binary and ordinal treatments. Estimation of these mixture models is by Markov chain Monte Carlo methods, after rewriting the models in line with framework of Albert and Chib (1993), and the comparison of the various models is by marginal likelihoods and Bayes factors, estimated by the method of Chib (1995) and Basu and Chib (2003). We discuss inferences for the treatment effects, outlining ways in which one can calculate the average treatment effect, and the effect of the instrument on the outcome, both from the intrinsic structure of the model and the output of the MCMC simulations. The ideas and methods are illustrated with both simulated and real data.
Colloquium Friday, 1/30/2004 Time: Tea @4:00, Talk @4:30, Room 199 - Kirk Seminar Room Host: Prof. Guido Weiss	Speaker: Gustavo Garrigos Universidad Autonoma de Madrid	Title: "L^p-boundedness of Bergman projections and the multiplier problem on the cone"
FEBRUARY
Analysis Seminar Monday, 2/2/2004 Time: 4:00, Room 216 Host: John McCarthy	Speaker: Leonid Kovalev Washington University Graduate Student	Title: "Interior regularity of solutions of elliptic PDEs in nondivergence form"
Abstract: Let u be a twice weakly differentiable function of two real variables. Let Lu = tr(A D^2u), where D^2u is the Hessian matrix of u and A is a positive-definite matrix with measurable coefficients. Suppose the L is uniformly elliptic, that is, the ratio of the eigenvalues of A is bounded by a constant K>1. In 1938 C.B. Morrey proved that any H^2 solution of the equation Lu =0 is continuously differentiable and its derivatives are locally Holder continuous with exponent 1/K. Luigi D'Onofrio recently asked if (1) this result can be improved and (2) the optimal Holder exponent is K^-1/2. The answers are yes and no. This is a joint work with David Opela, Washington University Graduate Student.
Math Club Meeting Monday, 2/2/2004 Time: 4:30, Room 222	Speaker: Asst. Prof. John Shareshian	Title: " Dividing n-space into regions using hyperplanes"
Abstract: A hyperplane in n-dimensional space is just the set of solutions to a linear equation. (For example, if n=2 a hyperplane is a line and if n=3 a hyperplane is a plane.) A set of hyperplanes divides the space into some number of connected regions, and I will discuss formulae for counting these regions.
Math Circles Wednesday, 2/4/2004 Time: 4:45, Room 199 - Kirk Seminar Room Host: Prof. Steven Krantz	Speaker: Professor Rachel Roberts	Title: "When is a knot knotted"
Graduate Student Seminar Wednesday, 2/4/2004 Time: 5:30, Room: 115 Host: Prof. Nik Weaver	Speaker: Prof. Nik Weaver	Movie: "The Proof"
Topology Seminar Thursday, 2/5/2004 Time: 1:00, Crow - Room 205	Speaker: Professor Rachel Roberts	Title: "An introduction to 4-manifolds"
Abstract: This is the first meeting of a learning seminar. This semester's goal is an understanding of the Heegaard Floer homology of Ozsvath and Szabo.
Colloquium Thursday, 2/5/2004 Time: Tea @4:00, Talk @4:30 Host: Al Baernstein	Speaker: Elizabeth Housworth Indiana University Associate Professor	Title: "PDEs arising from some population genetics models"
Abstract: Deleterious mutation is one of the major forces in evolution. Consequently, when a gene duplicates, loss should often be the fate of one of the copies. However, duplicate genes are preserved more frequently than models incorporating only deleterious mutation leading to the loss of one copy (nonfunctionalization) and beneficial mutation leading to a new function in one copy (neofunctionalization) would predict. A recent model proposed by Allan Force and Michael Lynch allows a third possible fate: preservation by complementary deleterious mutation of the regulatory regions controlling the gene's expression (subfunctionalization). Currently, Michael Lynch and his lab members simulate individuals in the population to answer questions about the various fates possible for duplicated genes. This method is extremely time consuming for realistic population sizes and limits the number of different scenarios that can be analyzed. We will talk about the derivation of some partial differential equations related to single locus, multi-allelic genetic models such as those arising in this biological context. Numerical solutions to the PDE approximation of the discrete biological process should provide a considerably faster approach to answering these questions. This work is joint with Mike Jolly (IU mathematics department), MichaelLynch (IU biology department), and George Mohler (formerly an REU student, now agraduate student in the IU mathematics department).
Colloquium Monday, 2/9/2004 Time: 3:00, Room 199 - Kirk Seminar Room Host: Professor Al Baernstein	Speaker: Ery Arias-Castro Stanford University Ph.D. Candidate (Statistics)	Title: "Connect-The-Dots: How many random points can a regular curve pass through?"
Abstract: Suppose n points are scattered uniformly at random in the unit square. Question: How many of these points can possibly lie on some curve of length bounded by L? Answer, proved here: order the square root of n.
Colloquium Monday, 2/9/2004 Time: 4:30, Room 199 - Kirk Seminar Room Host: G.V. Ravindra Washington University Mathematics Chauvenet Lecturer	Speaker: Ramesh Sreekantan University of Toronto	Title: "Non-Archimedean regulator maps and special values of L-functions"
Abstract: Beilinson formulated conjectures relating special values of L-functions of an algebraic variety defined over a number field with certain algebraic objects associated to the variety, generalizing many known results and conjectures. In this talk we will formulate an analog of his conjectures for varieties over function fields of characteristic p and discuss some results which provide evidence for them.
Graduate Student Seminar Monday, 2/9/2004 Time: 5:30, Room 199 - Kirk Seminar Room Host: Prof. Nik Weaver	Speaker: Leonid Kovalev Washington University Graduate Student	Title: The Calderon-Zigmund decomposition
Abstract: The behavior of integrable functions is sometimes hard to understand. One problem is that every such function has a good side and a bad side. Half a century ago, Alberto Calderon and Antoni Zigmund found a way to separate them and deal with each appropriately.
Analysis Seminar Tuesday, 2/10/2004 Time: 3:30, Room 216 John McCarthy	Speaker: David Opela Washington University Graduate Student	Title: "Twisted Version of Ando's Theorem"
Abstract: If T is a contraction a Hilbert space, then it is a restriction of a co-isometry W (WW*=I) and a compression of aunitary U. If S, T are contraction satisfying ST=hTS (h is a complex unit), then they extend (dilate) to co-isometries (unitaries) that satisfy the same commutation relation. The case h=1 is Ando's theorem.
Minor Oral Exam Tuesday, 2/10/2004 Time: 2:30, Room 199 - Kirk Seminar Room	Speaker: Sooraj Kuttykrishnan Washington University Graduate Student	Title: "Serre's conjecture on projective modules over polynomial rings"
Abstract: Sooraj will describe Daniel Quillen's solution to the following problem posed by J P Serre. Are projective modules over a polynomial ring with coeffecients in a field free? The answer is yes.
Math Circles Wednesday, 2/11/2004 Time: 4:45, Room 199 - Kirk Seminar Room Host: Prof. Steven Krantz	Speaker: Ben Braun Washington University Graduate Student	Title: "The game of Sprouts"
Topology Seminar Thursday, 2/12/2004 Time: 1:00, Crow 205	Speaker: Prof. Rachel Roberts	Title: "An introduction to 4-manifolds, II"
Kirk Lecture Thursday, 2/12/2004 Time: Tea@4:00, Talk @4:30, Room 199 - Kirk Seminar Room Host: Prof. Brian Blank	Speaker: Prof. Michael Taylor University of North Carolina at Chapel Hill	Title: "Identifying a region by how its boundary vibrates:analytical and geometrical aspects"
Abstract: A problem formulated by I.M. Gelfand in the 1950s is to reconstruct the metric tensor of a compact Riemannian manifold with boundary, from data on the spectrum of its Laplace operator, with the Neumann boundary condition, and the behavior at the boundary of the normalized eigenfunctions. The first ingredient that goes into the resolution of such an ``inverse problem'' is a uniqueness theorem, but further work beyond establishing uniqueness is required. This arises because of the ``ill posedness'' associated with inverse problems. That is, various ``large'' perturbations of the unknown region can yield small perturbations of the observed data. The key to stabilizing an ill-posed inverse problem is to have appropriate a priori knowledge of the unknown domain so that a search for the solution can be confined to a ``compact'' family of possible domains. In this context, the suitable notion is that of Gromov compactness, and one key to stabilizing Gelfand's inverse problem involves establishing such compactness. This is done under fairly weak hypotheses on the geometry of the unknown domain, including bounds on its curvature (to be precise, its Ricci tensor) and on the curvature of its boundary. Estimates for solutions to a naturally occuring elliptic boundary value problem for the metric tensor play a central role. The speaker will discuss some of these matters, which have been treated in joint work with M. Anderson, A. Katsuda, Y. Kurylev, and M. Lassas.
Wavelet Seminar Friday, 2/13/2004 Time: 4:00, Room 199 - Kirk Seminar Room Host: Guido Weiss	Speaker: Damir Bakic Visiting Assoc. Professor	Title: "All wavelet theory"
Abstract: Damir Bakic will begin a series of presentations of work he has been doing jointly with Ilya Krishtal(Chauvenet Lecturer). They have been establishing "all the wavelet theory" for more general dilations in R^n. In the first lecture he will describe MRA Parseval wavelets associated with expanding integer matrices.
Analysis Seminar Monday, 2/16/2004 Time: 4:00, Room 199 - Kirk Seminar Room Host: Al Baernstein	Speaker: Leonid Slavin Michigan State University	Title: "The Bellman function method and sharp constants in the John-Nirenberg inequality (the dyadic and continuous cases)"
Abstract: Upon a brief introduction to the method, we consider the integral form of the John-Nirenberg inequality for functions from BMO (and dyadic BMO) equipped with the L_2-based norm. We formulate the corresponding extremal problem, find the Bellman function explicitly and use it to determine the sharp constants in the inequality as well as the exact size of the BMO-ball in which the inequality is valid. One fascinating thing about the problem is that it was first solved for the "continuous" BMO and then for its dyadic analog, unlike the typically reverse order for Bellman-function proofs. More substantially, the constants and bounds are dramatically different in the dyadic case. This is a joint result with V. Vasyunin.
Math Club Meeting Monday, 2/16/2004 Time: 4:30, Cupples I, Room 222 Host: Asst. Prof. John Shareshian	Speaker: Benjamin Braun Washington University Graduate Student	Title: "Some bounds in the game of sprouts"
Graduate Student Seminar Monday, 2/16/2004 Time: 5:30, Room 199 - Kirk Seminar Room	Speaker: Prof. Nik Weaver	Title: "Topology is really algebra"
Abstract: This is not a talk about algebraic topology. I claim that general topology *literally is* algebra in disguise
Topology Seminar Thursday, 2/19/2004 Time: 1:00, Crow 205	Speaker: Prof. Rachel Roberts	Title: "An introduction to 4-manifolds, III"
Colloquium Thursday, 2/19/2004 Time: Tea @4:00, Talk @4:30, Room 199 - Kirk Seminar Room Host: Prof. John McCarthy	Speaker: Asst. Prof. Mike Jury Purdue University Alum of Washington University Mathematics Dept.	Title: "Amenable groups and amenable actions"
Abstract: Abstract: The subject of amenability began with a question posed by Lebesgue in 1904: there is a unique, translation invariant, countably additive measure on the real line (normalized so that the mass of the unit interval is 1), but does one still have uniqueness if "countably additive" is weakened to "finitely additive?" The answer turns out to be no, and a counterexample was constructed by Banach. It was later realized by von Neumann that the question was really about a certain property of the reals when viewed as an additive group. This property of groups is now known as "amenability" and has many interesting equivalent formulations, both combinatorial and analytic. We will discuss some of these, particularly for discrete groups, and discuss the weaker notion of an amenable action on a compact space. These ideas play an important role in the interplay of group theory and analysis, and we will describe some applications to problems about operator algebras.
Colloquium Friday, 2/20/2004 Time: 4:00, Room 113 Host: Prof. John McCarthy	Speaker: Asst. Prof. Mike Jury Purdue University Alum of Washington University Mathematics Dept.	Title: "C*-algebras of composition operators and Fuchsian groups"
Abstract: For a discrete group G of Mobius transformations of the unit disk (e.g. PSL(2,Z)), we consider the C*-algebra generated by the composition operators with symbols in G, acting on the Hardy space. When G is non-elementary, this C*-algebra contains the unilateral shift, and hence the ideal of compact operators. We show that the quotient of this algebra by the compacts is isomorphic to the crossed product C*-algebra obtained from the action of G on the circle, thus identifying the original algebra as an extension of the crossed product. We discuss some properties of these crossed products and extensions, connections with Cuntz-Krieger algebras, and consider the problem of classifying these extensions up to isomorphism using K-theory.
Wavelet Seminar Friday, 2/20/2004 Time: 4:00, Room 199 - Kirk Seminar Room Host: Guido Weiss	Speaker: Damir Bakic Visting Assoc. Prof.	Title: "Continued presentation of wavelet systems associated with expanding integer matrix dialations."
Abstract: In the second talk in the series we shall present another (simpler) description of all Parseval frame wavelets that arise from A-MRA structures. We shall also provide necessary tools for a method of constructing Parseval frame wavelets from generalized low pass filters.
Analysis Seminar Monday, 2/23/2004 Time: 4:00, Room 216 Host: Prof. John McCarthy	Speaker: Damir Bakic Visiting Assoc. Prof.	Title: "Tietze's extension theorem in Hilbert C*-modules"
Abstract: Starting from the classical Tietze extension theorem we shall discuss its generalizations to C*-algebras and Hilbert C*-modules. Since the later relies on the construction of the multiplier module M(V) for an arbitrary Hilbert C*-module V, we shall present various properties of M(V) and provide some examples.
Graduate Student Seminar Monday, 2/23/2004 Time: 5:300, Room 199 - Kirk Seminar Room Host: Nik Weaver	Speaker: Prof. Nets Katz Washington University	Title: "Linear Arithmetic Combinatorics and Group theory"
Abstract: We describe how a class of problems arising in extremal combinatorics and harmonic analysis may be viewed as questions about the representations of finite groups
Mathematics Dept.Talk Wednesday, 2/25/2004 Tea @4, Talk at 4:30, Room 113 Host: Ed Spitznagel	Speaker: Bin Cheng University of Wisconsin-Madison Ph.D. Candidate Department of Statistics	Title: "Exact Tests in Two-Way Linear Models for Multicenter Clinical Trials"
Abstract: Data from multicenter clinical trials are often analyzed under a two-way linear model (typically unbalanced) with treatment and center as two factors. As indicated in the International Conference on Harmonization Guidance, assessing treatment effects should be accompanied by an exploration of treatment-by-center interaction, which is rarely zero in multicenter trials. We define a measure of treatment-by-center interaction relative to the error variance and derive some exact tests with negligible treatment-by-center interaction (i.e., the relative interaction measure is smaller than a given margin) as the alternative hypothesis. A new exact test for treatment effects under unbalanced mixed effects models with nonzero interaction is proposed, which is simpler than the existing tests in the literature. Our results are extended to two-way analysis of covariance models.
Math Circles Wednesday, 2/25/2004 4:45, Room 199 Host: Steven Krantz	Speaker: Prof. Ed Wilson Washington University	Title: "Why a circle can't be squared"
Topology Seminar Thursday, 2/26/2004 Time: 1:00, Crow, Room 205 Host: Prof. Rachel Roberts	Speaker: Prof. Gary Jensen Washington University	Title: "Einstein metrics on spheres: the early years"
Abstract: I will describe a construction of Riemannian metrics on spheres of dimension 4n+3 which produces a nonstandard Einstein metric. This talk might serve as an introduction to the problem about which Charles Boyer will speak later that afternoon in the Colloquium
Colloquium Thursday, 2/26/2004 Time: 4:00, Room 199 - Kirk Seminar Room Host: Prof. Gary Jensen	Speaker: Prof. Charles Boyer University of New Mexico	Title: "Einstein metrics on exotic spheres"
Abstract: We describe a technique that combines the use of Sasakian geometry and algebraic geometry to prove the existence of an abundance of Einstein metrics on odd dimensional spheres, including exotic spheres.
Wavelet Seminar Friday, 2/27/2004 Time: 4:00, Room 199 - Kirk Seminar Room Host: Prof. Guido Weiss	Speaker: Ilya Krishtal Chauvenet Lecturer	Title: "Construction of generalized MRA PFA wavelets from generalized low pass filters." This is a continuation of the series of talks begun by Damir Bakic.
MARCH
Analysis Seminar Monday, 3/1/2004 Time: 4:00, Room 216	Speaker: Prof. John McCarthy Washington University	Title: "Distinguished Varieties and Ando's inequality"
Graduate Student Seminar Monday, 3/1/2004 Time: 5:30, Room 199 - Kirk Seminar Room Host: Nik Weaver	Speaker: David Opela Washington University Graduate Student	Title: Analytic Sets
Abstract:A subset of complete separable metric (aka Polish) space M is called analytic, if it is the image of closed subset of MxRunder the projection map. Every Borel subset of M is analytic and many sets are easily seen to be analytic. The concept is very useful in probability theory, I will introduce the basic facts from the theory (with a few proofs) and also mention how it is related to Math 552.
Colloquium Tuesday, 3/2/2004 Time: Tea@4:00, Lounge Talk @4:30 - Room 199 - Kirk Seminar Room Host: Ed Spitznagel	Speaker: Nan Lin Yale University	Title: Mapping regulatory quantitative trait loci with gene expression data.
Abstract: We propose a Bayesian framework that uses linkage analysis to dissect transcription regulations by treating mRNA expression levels as quantitative traits. This framework incorporates topological information motivated by recent advances in biological network topology to better identify the linkage signal. Related statistical problems such as estimating relevant probability distributions will also be discussed.
Topology Seminar Thursday, 3/4/2004 Time: 1:00, Crow Hall, Room 205 Host: Prof. Rachel Roberts	Speaker: Prof. Gary Jensen	Title: "Compact Four-dimensional Einstein Manifolds"
Abstract: In 1974 in JDG 9, Nigel Hitchen proved that there is a topological obstruction to a compact simply connected 4-manifold possessing an Einstein metric. Using a normal form of the curvature derived by Singer and Thorpe, he proved that if a compact 4-manifold M possesses an Einstein metric, then |tau| <= 2X/3, where tau is the signature and X is the Euler characteristic of M. I will outline the proof, with a fairly complete derivation of the Singer-Thorpe normal form.
Colloquium Thursday, 3/4/2004 Time: Tea @4:00, Lounge Talk @4:30 - Room 199 - Kirk Seminar Host: Prof. Nik Weaver	Speaker: Prof. Zhong-Jin Ruan University of Illinois at Urbana-Champaign	Title: Operator Spaces and their Applications to Harmonic Analysis
Abstract: Operator spaces are natural non-commutative quantization of Banach spaces. In this talk we show how operator space theory can be nicely applied to abstract harmonic analysis. In particular, we show that using operator space theory, we may obtain a perfect representation theorem for the measure algebra M(G) and the completely bounded Fourier multiplier algebra McbA(G), respectively. More precisely, we may obtain the completely isometric *-isomorphisms M(G) = CB^s,Linfty(G)L(G)(B(L2)) and McbA(G) = CB^s,L(G)Linfty(G)(B(L2)).
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Monday, 3/15 10:00-11:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Ed Wilson Washington University	Speaker: Prof. Guido Weiss Washington University	Title: "Expository Lectures on Wavelets I"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Monday, 3/15 11:00-12:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Ed Wilson Washington University	Speaker: Prof. Eric S. Weber Iowa State University	Title: "Wavelets and Admissible Group Representations"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Monday, 3/15 1:00-2:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Ed Wilson Washington University	Speaker: Prof. Eugenio Hernandez Universidad Autsnoma de Madrid	Title: "Non-Linear Approximation in Sequence Spaces with Applications to Wavelets"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Monday, 3/15 2:00-3:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Ed Wilson Washington University	Speaker: Prof. Hrvoje Sikic University of Zagreb	Title: "One Dimensional Parseval Frames"
Algebraic Geometry Seminar Monday, 3/15 Time: 4:00, Room 199 - Kirk Seminar Room Host: N. Mohan Kumar	Speaker: Zemin Zeng Washington University Graduate Student	Title: "The symmetric algebra of the conormal bundle and modifications by line bundles"
Abstract: By prof. M. Boratynski, to show a smooth affine variery X in A^n is a set theoretic complete intersection(s.t.c.i.), it is equivalent to show S^+(P) is a s.t.c.i. in S(P), where P is the conormal bundle of X. Using modifications by line bundles, prof. Mohan Kumar proved some smooth surfaces are s.t.c.i.. I will present their proofs in this talk.
Analysis Seminar Monday, 3/15 4:00, Room 216 Host: Prof. Nik Weaver	Speaker: Robert Houska Washington University	"The algebraic structure of OP(P)"
Abstract: We will investigate the relationship between the order structure of a partially ordered set P and the algebraic structure of OP(P), the set of bounded order-preserving functions from P to [0, infinity), including characterizations of ideals, homomorphisms, and subalgebras.
Graduate Student Seminar Monday, 3/15 Time: 5:30, Room 199 - Kirk Seminar Room	Speaker: Prof. Nik Weaver	Title: "Twelve dualities"
Abstract: Every finite dimensional vector space is naturally isomorphic to its double dual. Thus, the map that takes a vector space to its dual space is a "duality" between the class of finite dimensional vector spaces (over a given field) and itself. The duality between varieties and their coordinate rings is another example of the same general phenomenon. You can probably think of other examples --- but can you think of ten other examples?
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Tuesday, 3/16/2004 Time: 1:00-2:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Dorin Dutkay University of Iowa	Title: "Trace Formulas in Wavelet Theory"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Tuesday, 3/16/2004 Time: 2:00-3:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker:Prof. Edward Wilson Washington University	Title: "Expository Lectures on Wavelets II"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Tuesday, 3/16/2004 Time: 3:00-4:00pm, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Mauro Maggioni Yale University	Title: "Data Analysis and Applications of Wavelet Packet Algorithms to Hyperspectral Imaging and Pathology"
Colloquium Tuesday, 3/16/2004 Tea @4, Talk @4:30 Room 199 - Kirk Seminar Room Host: N. Mohan Kumar	Speaker: Prof. A. Raghuram University of Iowa	Title: "Quadratic Reciprocity and GL(2)"
Abstract: This talk is about the classical quadratic reciprocity theorem and some of its analogues in the context of automorphic forms on GL(2). I will begin by reviewing the classical "Theorema Auruem" of Gauss and then pick up enough concepts from automorphic forms on GL(2) to be able state some recent results. The first half of my talk should be accessible to a graduate student.
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Wednesday, 3/17/2004 10:00-11:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Damir Bakic Washington University University of Zagreb	Title: "Construction of General Parseval Frame MRA's Associated with Expanding Integer Maxtrix Dilations"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Wednesday, 3/17/2004 11:00-12:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Ziemowit Rzeszotnik Texas A&M University	Title: "The Norm of the Fourier Transform on Finite Abelian groups"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Thursday, 3/17/2004 1:00-2:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Demetrio Labate North Carolina State University	Title: "A Unified Approach to Reproducing Function Systems on Locally Compact Abelian Groups"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Wednesday, 3/17/2004 2:00-3:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Guido Weiss Washington University	Title: "Expository Lectures on Wavelets III"
Math Cirlces Wednesday, 3/17/2004 4:30, Room 199 - Kirk Seminar Room Host: Steven Krantz	Speaker: Cynthia Traub Washington University Graduate Student	Title: "Connect the dots...quickly!"
Abstract: A triangulation of n points in the plane can be thought of as the result of a game of "connect the dots," played with some special rules. If you are charged one dollar per unit length of line segment, how can you finish the game and minimize your costs? Is it possible to find the cheapest picture without examining all cases? We will discuss two algorithmic approaches to this problem, and explain why dynamic programming will give us a better answer than a greedy algorithm in many cases.
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Thursday, 3/18/2004 1:00-2:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Brody Johnson St. Louis University	Title: "Convolutional Frames and the Frame Potential"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Thursday, 3/18/2004 2:00-3:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Edward Wilson Washington University	Title: "Expository Lectures on Wavelets IV"
Topology Seminar Thursday, 3/18 1:00, Crow Hall, Room 205 Host: Prof. Rachel Roberts	Speaker: Prof. Gary Jensen	Title: "The Singer-Thorpe normal form"
Abstract: On a 4-dimensional Riemannian manifold, the curvature operator commutes with the Hodge star operator iff the metric is Einstein. Thus, for an Einstein space, the curvature operator and the Hodge star can be simultaneously diagonalized, and that is the Singer-Thorpe normal form. The details involve linear algebra and Lagrange multipliers.
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Thursday, 3/18/2004 3:00-4:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Pete Casazza St. Louis University	Title: "Application of Hilbert Space Frames"
Colloquium Thursday, 3/18/2004 Time: Tea @4:00, Talk @4:30 - Room 199 - Kirk Seminar Host: Prof. Gary Jensen	Speaker: Prof. Sybilla Beckmann University of Georgia	Title: "Mathematics for Elementary Teachers"
Abstract: What mathematics should elementary teachers know to be prepared to teach? In particular, what should elementary teachers know about algebra and geometry? I will present principles that can guide courses for elementary teachers. We will discuss types and examples of problems that are useful for teaching but may be overlooked in standard mathematics courses. Everyone agrees that mathematics courses for teachers are important. I also hope to convince you that such courses can be interesting and fun.
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Friday, 3/19/2004 10:00-11:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Manos Papadakis University of Houston	Title: "Eye-sotropic Wavelets"
Abstract: In this talk we will present certain results on an innovative construction of wavelets associated with multiresolution analysis in multidimensions. The main idea is to use the theory of frames in order to construct multiresolution analyses whose scaling functions are isotropic in any number of dimensions. Therefore, our design is clearly non-separable. What we will present is a prototype multiresolution structure, the Shannon-like Radial Frame Multiresolution Analysis. Our design is motivated by the fact that retinal image filtering is free of directional preferences and, according to Marr and other neurophysiologists, can be modeled by linear filtering using isotropic Gaussians. Our multiresolution scheme gives rise to Wavelet Algorithms which use isotropic filters. These algorithms have the ability to detect textures and decompose an image by putting regions with the same textural consistency into the same subband. We will show applications of these algorithms to biomedical imaging and we will also provide an overview of non-separable multiresolution design in multidimensions together with an overview of our team's future research program.
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Friday, 3/19/2004 11:00-12:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Josip Derado Kennesaw State University	Title: TBA
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Friday, 3/19/2004 1:00-2:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Kanghui Guo Southwest Missouri State University	Title: "The Basic Properties of Composite Dilation Wavelets"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Friday, 3/19/2004 2:00-3:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Wang Q. Lim Washington University Graduate Student	Title: "The Construction of Wavelets Associated with Two Families of Dilations and Translations"
NSF sponsored Washington University-University of Zagreb program concentrating on Wavelets Friday, 3/19/2004 4:00-5:00, Room 199 - Kirk Seminar Room Hosts: Prof. Guido Weiss and Prof. Edward Wilson Washington University	Speaker: Prof. Chris Heil Georgia Institute of Technology	Title: "Quantifying redundancy in infinite dimensions"
Abstract: This talk is concerned with frames, which are particular types of sequences in a Hilbert space that have useful basis-like properties even though they may be redundant, or overcomplete. Such redundant systems offer many advantages in applications, such as extra design flexibility or increased stability against noise or data loss. However, while redundancy has a clear qualitative meaning, quantifying redundancy turns out to be a difficult problem. We will review the basic properties of frames, and then introduce the concept of "localized" frames and relate redundancy to localization. As particular corollaries we recover the Nyquist density phenomena for windowed exponentials and Gabor frames, but furthermore extend these to new situations and derive some new properties of those systems.
Algebraic Geometry Seminar Monday, 3/22/2004 Time: 4:00, Room 199 - Kirk Seminar Room Host: N. Mohan Kumar	Speaker: David Wright - Washington University	Title: "The Groebner Basis Algorithm"
Abstract: Programs which do symbolic algebra computations (such as Mathematica, Maple, Macaulay, and Singular) use the Groebner Basis Algorithm, which is a multivariable generalization of the Euclidean algorithm for polynomials in one variable. We will give the algorithm and prove its validity. This may be followed by a lecture which demonstrates Singular, which seems to be the state of the art program for algebraists. This talk is accessible to all graduate students and faculty.
Analysis Seminar Monday, 3/22/2004 Time: 4:00, Room 216 Host: Prof. Al Baernstein	Speaker: Professor Kwang Shin, University of Missouri at Columbia	Title: "Reality of eigenvalues of some PT-symmetric Hamiltonians"
Abstract: Hermiticity of traditional Hamiltonians is a useful mathematical constraint that guarantees real eigenvalues, unitary time evolutions and conservation of probability. In recent years, non-Hermitian PT-symmetric Hamiltonians have gathered considerable attention because many such Hamiltonians have real eigenvalues only. In this talk, we will prove reality and positivity of eigenvalues for a class of PT-symmetric oscillators with polynomial potentials.
Graduate Student Seminar Monday, 3/22 Time: 5:30, Room 199 Host: Prof. Nik Weaver	Speaker: Quo-Shin Chi	Title: "Isoparametric Hypersurfaces
Abstract: Prof. Chi will survey the recent progress on the classification of isoparametric hypersurfaces with four principal curvatures in spheres.
Math Circles Wednesday 3/24/2004 Time: 4:45, Room 199 - Kirk Seminar Room Host: Steven Krantz Washington University	Speaker: Martha Hasting Washington University Lecturer	Title: "Thinking Like a Computer"
APRIL
Topology Seminar Thursday,3/25 Time: 1:00, Crow Hall, Room 205 Host: Prof. Rachel Roberts Washington University	Speaker: Prof. Quo-Shin Chi Washington University	Title: "An overview of Donaldson's work"
Abstract: Prof. Chi will outline the ideas underlying Donaldson's work on the moduli space of self-dual Yang-Mills fields
Colloquium Thursday, 3/25/2004 Time: Tea @4:00, Talk @4:30, Room TBA Host: Prof. John McCarthy Washington University	Speaker: Prof. Yang Wang Georgia Tech.	Title: "Multiplicative Tiling of the Line"
Abstract: A subset $T$ of ${\mathbb R}$ is a multiplicative tile if there is a discrete set ${\mathcal L} in ${\mathbb R}$ such that $\{aT:~a\in {\mathcal L}\}$ is a partition of ${\mathbb R}$. Multiplicative tiles appear in the study of minimally supported frequency wavelets (introduced by Guido Weiss and his coauthors). In this talk I will discuss the structure of a multiplicative tiling. Multiplicative tilings are strongly linked to the traditional translational tilings, which in turn are related to the factorization of finite cyclic groups. I will give an overview on these topics.
Memorial Service for Prof. Martin L. Silverstein 1939-2004 Friday, 3/26/2004 Time 1:30, Washington University in St. Louis North Brookings Hall, Room 300 Host: Prof. Steven Krantz Washington University	Opening Remarks: Steven G. Krantz, Chair, Mathematics Dept. Washington University Remembrances of Martin L. Silverstein: Richard Gundy (Rutgers University) Zhen-Qing Chen (University of Washington) Donald Burkholder (University of Illinois) Guido Weiss (Washington University) Fellowship & Refreshments immediately following	Remembrances of Marty Silverstein
Math Talks & Fellowship in Memory of Martin L. Silverstein Saturday, 3/27/2004 Time: 10:00-5:00, Cupples I, Room 199 - Kirk Seminar Room - Washington University in St. Louis Host: Prof. Steven Krantz Washington University	Invited Speakers: Don Burkholder (University of Illinois) Richard Wheeden (Rutgers University) Richard Gundy (Rutgers University) Stephen Wainger (University of Wisconsin) Zhen-Qing Chen (University of Washington) Qian-Min Ping (Beijing University) http://www.math.wustl.edu/martyms/	Math Talks & Fellowship
Analysis Seminar Monday, 3/29/2004 Time: 4:00, Room 216 Host: Prof. John McCarthy	Speaker: Prof. Nik Weaver	Title: "Consistency of counterexample to Naimark's problem, I"
Abstract: Naimark (1951) showed that the C*-algebra of compact operators on a Hilbert space has only one irreducible representation and asked whether there were any other C*-algebras with this property. We prove that the existence of such a C*-algebra is consistent with the standard axioms of set theory. Part I: History of the problem and set-theoretic aspects of its solution. (Joint work with Charles Akemann)
Graduate Student Seminar Monday, 3/29/2004 Time: 5:30, Room 199 - Kirk Seminar Room Host: Prof. Nik Weaver Washington University	Speaker: Paul Koester Washington University Graduate Student	Title: Arithmetic Progressions in Dense Sets of Integers"
Abstract: Given a subset A of {1,2,...,N} we define the density of A to be delta = #A/#{1,2,...,N}. How large must delta be before A is forced to contain an arithmetic progression of length 3? We will discuss some bounds on delta.
Topology Seminar Thursday, 4/1/2004 Time: 1:00, Crow Hall, Room 205 Host: Prof. Rachel Roberts Washington University	Speaker: Prof. Quo-Shin Chi Washington University	Title: Title: "An overview of Donaldson's work"
Abstract: Prof. Chi will outline the ideas underlying Donaldson's work on the moduli space of self-dual Yang-Mills fields
Graduate Student Seminar Monday, 4/5/2004 Time: 5:30, Room 199 Host: Prof. Nik Weaver	Speaker: John Shareshian	Title: "The Classification of Finite Simple Groups"
Abstract: Prof. Shareshian will discuss the classification of finite simple groups, stating the theorem, giving some applications and outlining with very little detail some key ideas and history of the proof.
Graduate Student Seminar Monday, 4/12/2004 Time: 5:30, Room 199 Host: Prof. Nik Weaver	Speaker: Prof. Guido Weiss	Title: "Wavelets, other related reproducing systems and several ways of thinking about them."
Abstract: The systems we consider are obtained by applying certain sets of Translations, Dilations and Modulations to a specific function or a finite collection of such functions. I will explain why this is a natural thing to do and some of the uses of the systems obtained. Various methods of constructing these systems will be described. Some of the basic properties of the functions that produce these systems will also be discussed.
Math Circles Wednesday, 4/14/2004 Time: 4:45, Room 199 - Kirk Seminar Room Host: Steven Krantz	Speaker: Tim Lott Washington University Graduate Student	Title: "Kuratowski's Theorem"
Topology Seminar Thursday, 4/15/2004 Time: 1:00, Room 205 Host: Prof. Rachel Roberts	Speaker: Prof. Nets Katz	Title: "An introduction to symplectic topology, I"
Colloquium Thursday, 4/15/2004 Time: Tea @4:00, Talk@4:30, Room 199 - Kirk Seminar Room Host: Prof. David Wright Washington University	Speaker: Prof. Arno van den Essen University of Nijmegen The Netherlands	Title: "Hesse, the Jacobian Conjecture and the Laplace operator"
The aim of this talk is to report on some surprising new developments which have taken place recently in connection with the Jacobian Conjecture. The talk will be given at such a level that students are encouraged to attend.
Special Analysis Seminar Friday, 4/16/2004 Time: 4:00pm, Room 113	Speaker: Lubos Pick Charles Univ., Prague/Brock U, St. Catharines, ON	Title: "The Gateway to Compactness"
Abstract: This is a contribution to the theory of Sobolev spaces. It is the imbedding properties, and, in particular, the compact imbedding properties, what makes Sobolev spaces so useful in PDE's and other areas of applications. Our main goal is to characterize a pair of rearrangement-invariant norms \rho and \sigma such that the Sobolev space W^{m,\rho} is compactly imbedded into L^\sigma. We attempt to locate the "gateway to compactness", a function space beyond which a bounded imbedding begins to be compact. Our characterizing conditions involve a new type of imbedding between function spaces, and also certain appropriate integral operators. We illustrate the results with nontrivial examples involving classical Lorentz and Orlicz norms. This is a joint work with Ron Kerman.
Analysis Seminar Monday, 4/19/2004 Time: 4:00, Room 216 Host: John McCarthy	Speaker: Ilya Krishtal Washington University Chauvenet Lecturer	Title: "Introduction to the Spectral Theory of Linear Relations"
Abstract: A linear relation between Banach spaces $X$ and $Y$ is an arbitrary linear subspace $A \subset X \times Y$. Apparently, this kind of object was first introduced by von Neumann in 1932 when he defined an adjoint to a linear operator with non-dense domain. Recent interest in linear relations is due to their applications to differential inclusions and degenerate operator semigroups. We shall briefly discuss these and other examples of problems where linear relations occur and present one of the possible approaches to their spectral theory following a paper by A.G. Baskakov and K.I. Chernyshov.
Algebraic Geometry Seminar Monday, 4/19 Time: 4:30, Room 199 - Kirk Seminar Room Host: Prof. N. Mohan Kumar	Speaker: Arno van den Essen University of Nijmegen The Netherlands	Title: "The Hessian Conjecture and the Dependence Problem"
Loeb Colloquium Tuesday, 4/20 Time: Tea @4:00 in Lounge, Talk @ 4:30, Room 215 Host: Prof. M. Mohan Kumar Washington University	Speaker: Professor Lucien Szpiro The City University of New York (CUNY)	Title: "The Theory of Heights"
The theory of heights. We will show how the simple and natural notion of HEIGHT of a point with coordinates in Q has been made into a complicated mathematical object. This was the price to pay for solving outstanding conjectures like Mordell's conjecture (finitness) or Bogomolov's conjecture (discreetness).We will explain the two aspects of heights: 1- The height is an INTERSECTION MULTIPLICITY. 2- The height is given by an integral formula like the MAHLER MEASURE. We will relate those two aspects by the theory of ALGEBRAIC DYNAMICAL SYSTEMS , the CANONICAL HEIGHTS and the EQUIDISTRIBUTION THEOREMS wich are associated to them.
Geometry Seminar Wednesday, 4/21/2004 Time: 1:00, Cupples I, Room 199 Host: Prof. Quo-Shin Chi Washington University	Speaker: Thomas Banchoff Brown University	Title: "Characteristic Classes in Multivariable Calculus"
Abstract: Some of the most appealing theorems in combinatorial topology already appear in mulivariable calculus classes, although often in disguised forms. In this lecture we will visit the parity lemma, the winding number, non-embeddability of the Klein bottle, the critical point theorem, and the Whitney duality theorem, using computer graphics demonstrations from a 'paperless' Internet-based course in multivariable calculus and an introductory course in combinatorial topology."
The Jerome Loeb Undergraduate Lecture Series Wednesday, 4/21/2004 Time: 4:30, Room Crow Hall, Room 201 Host: Prof. Quo-Shin Chi Washington University	Speaker: Thomas Banchoff Brown University	Title: "What do Flatland,A Wrinkle in Time, and the surrealist paintings of Salvador Dali have in common?"
Abstract: They all explore phenemena in spaces beyond the third dimension, ideas that have fascinated and challenged mathematicians, physicists, philosophers, and artists for centuries. Only very recently, however, has it been possible to see and interact with objects in higher dimensions using modern computer graphics. In this presentation, we will encounter representations of hypercubes, hyperspheres, Klein bottles, and other objects that can't be built in our space. What kinds of new mathematical insights will lie ahead?
Math Circles Wednesday, 4/21/2004 Time: 4:45, Room 199 Host: Steven Krantz	Speaker: Martha Hasting Washington University Lecturer	Title: "Thinking Like a Computer, Part II"
Topology Seminar Thursday, 4/22/2004 Time: 1:00, Crow Hall, Room 205 Host: Prof. Rachel Roberts	Speaker: Prof. Nets Katz Washington University	Title: " An Introduction to Symplectic Topology, II"
Colloquium Thursday, 4/22/2004 Time: 4:00, Room 199 - Kirk Seminar Room Host: Prof. John Shareshian Washington University	Speaker: Prof. Michelle Wachs University of Miami	Title: "A topological application of the Robinson-Schensted correspondence"
Abstract: The Robinson-Schensted correspondence is a remarkable correspondence that connects permutations with arrays of integers called tableaux. This correspondence has applications in permutation enumeration, symmetric function theory and representation theory of the symmetric group. In the first part of this talk, I will describe the correspondence and present a few of its classical applications. In the second part, I will describe joint work with John Shareshian in which a novel usage of the correspondence is made. The correspondence plays an essential role in our computation of torsion in the homology of a simplicial complex called the chessboard complex, which has arisen in various contexts in the literature.
Analysis Seminar Monday, 4/26/2004 Time: 4:00, Room 216 Host: Prof. John McCarthy	Speaker: Leonid Kovalev Washington University Graduate Student	Title: "G-compactness of elliptic systems"
Abstract: In 1960s E. De Giorgi pointed out that the weak limit of a sequence of differential operators does not always accurately describe the asymptotic behavior of solutions of associated differential equations. Motivated by this observation, S. Spagnolo introduced the notion of G-convergence and proved, among other things, that every family of equi-uniformly elliptic operators (divergence type) is G-compact. I plan to talk about some recent results on G-compactness of equi-uniformly elliptic systems. (Joint work with F. Gianetti, T. Iwaniec, G. Moscariello, and C. Sbordone.)
MAY
Roever Colloquium Thursday, 4/29/2004 Tea @4:00, Talk @4:30, Room 199 - Kirk Seminar Room Host: Prof. Rachel Roberts Washington University	Speaker: Prof. Peter Ozsvath Columbia University & IAS	Title: "Holomorphic Disks and Low-dimensional Topology"
Abstract: Prof. Ozsvath will describe an on-going project with Zoltan Szabo in which we use techniques from symplectic geometry (pseudo-holomorphic disks) to construct invariants of three- and four-dimensional manifolds. I will focus on applications of these invariants to concrete topological problems, and more specifically to questions in knot theory.
Roever Colloquium Friday, 4/30/2004 Talk @2:30-3:30, Cupples II, Room 200 Host: Prof. Rachel Roberts Washington University	Speaker: Prof. Peter Ozsvath Columbia University & IAS	Title: "Holomorphic Disks and Low-dimensional Topology" I
Roever Colloquium Friday, 4/30/2004 Talk @4:00-5:00, Cupples II, Room 200 Host: Prof. Rachel Roberts Washington University	Speaker: Prof. Peter Ozsvath Columbia University & IAS	Title: "Holomorphic Disks and Low-dimensional Topology" II
Roever Colloquium Saturday, 5/1/2004 Talk @10:30-11:30, Cupples I, Room 199 Host: Prof. Rachel Roberts Washington University	Speaker: Prof. Peter Ozsvath Columbia University & IAS	Title: "Holomorphic Disks and Low-dimensional Topology" III
Roever Colloquium Saturday, 5/1/2004 Talk @12:00-1:00, Cupples I, Room 199 Host: Prof. Rachel Roberts Washington University	Speaker: Prof. Peter Ozsvath Columbia University & IAS	Title: "Holomorphic Disks and Low-dimensional Topology" IV
Defense of Thesis Monday, 5/3/2004 2:00pm, Room 199 - Kirk Seminar Room Host: N. Mohan Kumar	Speaker: Jing Zhang Washington University Graduate Student	Title: "Threefolds with Vanishing Hodge Cohomology"
Abstract: We investigate a question raised by J.-P. Serre in 1953: Let $Y$ be a complex manifold with $H^i(Y, \Omega^j_Y)=0$ for all $j\geq 0$ and $i>0$ (where $\Omega^j_Y$ is the sheaf of holomorphic $j$-forms on $Y$), then what is $Y$? Is Y Stein? When dimension is 3 and if there are nonconstant regular functions on $Y$, we will understand $Y$ by looking at its smooth completion $X$ and the fibre space from $X$ to a smooth projective curve. In this case, $Y$ is a fibre space over a smooth affine curve $C$ such that every fibre satisfies the same vanishing condition and all smooth fibres are of the same type. Generally, if $Y$ is not affine, then the Kodaira dimension of $X$ is $-\infty$ and the $D$-dimension is 1, where $D$ is an effective divisor of $X$ supported at $X-Y$ with normal crossings.
Graduate Student Seminar Monday, 5/3/2004 Time: 5:30, Room 199 - Kirk Seminar Room Prof. Nik Weaver	Speaker: Brian Maurizi Washington University Graduate Student	Title: "Hyperconvex Metric Spaces"
Abstract: What is the strictest "convexity" requirement that one could put on a metric space? We offer the definition of hyperconvexity as an answer, and we will motivate/justify it by looking at how it relates to the Hahn-Banach theorem, some more general extension theorems, and also how every metric space sits inside one of these hyperconvex spaces.
Major Oral Thursday, 5/6/2004 Talk @1:00-2:00 Tea @4:00 Host: Prof. Rachel Roberts	Speaker: Michael Hamm	Title: A sufficient condition for property FA
Abstract: I will present a paper by M. Culler and K. Vogtmann proving a purely group-theoretical condition on a group that guarantees that any action on a tree will fix a point.
Analysis Seminar: Minor Oral Exam Monday, 5/10/2004 Time: 2:30 Host: Prof. John McCarthy	Speaker: Paul Koester Washington University Graduate Student	Title: A proof of boundedness of the Carleson Operator
Abstract: In 1966 Lennart Carleson proved that the partial sums of the Fourier series of an L^2 function converges almost everywhere to the function. Simpler proofs were found by Charles Fefferman in 1973 and by Micheal Lacey and Christoph Thiele in 1998. We will discuss the proof of Lacey and Thiele.
Topology Seminar Thursday, 5/20/2004 Time: 11:00-noon Cupples I, Room 199 - Kirk Seminar Room Host: Prof. Rachel Roberts	Speaker: Prof. Saul Schleimer UIC	Title: "An introduction to algorithmic topology in dimension three"
Abstract: If a compact three-manifold is given to you, via a triangulation, what can you determine about it? Is the fundamental group trivial? Is it homeomorphic to a sphere? Does it contain any nice surfaces? Is it a knot complement? We'll discuss what it might mean to answer these questions and give lots of examples along the way.
Topology Seminar Thursday, 5/20/2004 Time: Talk@2-3, Tea@3 Cupples I, Room 199 - Kirk Seminar Room Host: Prof. Rachel Roberts	Speaker: Prof. Saul Schleimer UIC	Title: "Normal surfaces and decision problems"
Abstract: A decision problem is a class of problems of the form "general statement" and "particular instance". For example the factoring problem asks: Is the integer n composite? Here an instance is a choice of integer. A classic decision problem from topology is: Does the triangulation T represent the three-sphere? We'll discuss Thompson's solution (following Rubinstein) to this problem.
Washington University 2004 Commencement Washington University Quadrangle Friday, May 21, 2004 Time: 8:30am	Commencement Speaker: Thomas L. Friedman A three-time individual Pulitzer Prize-winning columnist for The New York Times.	Please advise any guests to arrive on campus very early that morning to insure getting a parking space.
Washington University Graduate School of Arts & Sciences Friday, May 21, 2004 Time: Immediately following Commencement Location: Edison Theater	Graduate Hooding Ceremony	Speaker: Robert E Hegel Washington University Professor Of Chinese Language And Literature
Topology Seminar Friday, 5/21/2004 Time: 11:00-noon Cupples I, Room 199 - Kirk Seminar Room Host: Prof. Rachel Roberts	Speaker: Prof. Saul Schleimer UIC	Title: "Three-sphere recognition is in NP"
Abstract: A decision problem lies in the complexity class NP if, for every instance with a "yes" answer, there is a polynomial size proof of the correctness of the "yes" answer. We'll discuss this idea and show that the three-sphere recognition problem lies in the complexity class NP. This uses work of Agol-Hass-Thurston.
JUNE
Thesis Defense Thursday, 6/10/2004 Time: 10:00, Tea: 11:15 Room 199 - Kirk Seminar Room Host: Prof. Steven Krantz	Speaker: Seth Howell Washington University Ph.D. Candidate	Title: "Commutator, Curve, and Variety Type: An Investigation of Finite Type in Several Complex Variables"
Absract: The notion of finite type was developed by Kohn in the 1960's as a way of studying the $\dbar$-Neumann problem on domains in $\C{n}$. Finite type is a biholomorphic invariant. This dissertation focuses on commutator type, developed J. Kohn, T. Bloom, and I. Graham, and variety type, developed by J. D'Angelo. Commutator type measures the differences between the real and complex tangent spaces at a given boundary point of a domain in $\C{n}$. Variety type measures the order of contact between holomorphic curves and the boundary of a domain in $\C{n}$. These two notions are equivalent in $\C{2}$, but not in $\C{n}$. In $\C{n}$, commutator type is upper-semicontinuous, while variety type does not have this property. However, variety type is locally finite. The proof of local finiteness given by D'Angelo is based on the development of another notion of type, ideal type. Although ideal type is comparable to variety type, it does not measure the same geometric property. This dissertation develops a new notion of finite type, curve type, which measures the same geometric property measured by variety type. Curve type is developed to better understand the local finiteness of variety type. Curve type uses smooth curves within the boundary of the domain to measure the order of contact between holomorphic curves and the boundary of the domain. Curve type, like variety type, is defined for hypersurfaces. Curve type can also be defined for general varieties. This dissertation defines curve type and compares curve type to variety type and commutator type. Equivalence between the three notions of type on hypersurfaces will be proven in $\C{2}$. The difference between curve type and variety type for varieties will be discussed in several examples. The equivalence between curve type and variety type in $\C{n}$ will be proven. Finally, local finiteness of curve type and variety type will be discussed.
SEPTEMBER
Geometry Seminar Wednesday, 9/8/2004 Time: 4-5:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Gary Jensen Washington University Professor	Title: Moebius Geometry
Analysis Seminar Monday, 9/13/2004 Time: 4:00 Room 199 Host: Prof. John McCarthy	Speaker: Professor John McCarthy Washington University Professor	Title: Organizational Meeting for Analysis Seminar
Algebraic Geometry Seminar Tuesday, 9/14/2004 Time: 4:00 Room 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. A. Prabhakar Rao University of Missouri, St. Louis Professor	Title: ACM bundles on hypersurfaces
Graduate Seminar Tuesday, 9/14/2004 Time: 5:30-7 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Gary Jensen Washington University Professor	Title: Dupin hypersurfaces and Lie sphere gemoetry
Geometry Seminar Wednesday, 9/15/2004 Time: 4-5:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Gary Jensen Washington University Professor	Title: Surfaces in Moebius Geometry
Combinatorics Seminar Thursday, 9/16/2004 Time: 1:15 Ridgley Hall, Room 122 Host: Prof. John Shareshian	Speaker: Ben Braun Washington University Graduate Student	Title: Topologial Obstructions to Graph Coloring
Wavelets Seminar Friday, 9/17/2004 Time: 3:30-5:00 Room 199 Host: Prof. Guido Weiss	Speaker: Prof. Javier Soria Washington University Visiting Professor	Title: Composite wavelets
Analysis Seminar Monday, 9/20/2004 Time: 4:00 Room 199 Host: Prof. John McCarthy	Speaker: Leonid Kovalev Washington University Graduate Student	Title: LERW, UST and SLE
Abstract: Let G be a finite connected graph with "boundary" B and a distinguished vertex a not in B. A loop-erased random walk from a to B is obtained by erasing the loops from a simple random walk started at a and stopped upon hitting B. A spanning tree T of G is a subgraph of G such that for every pair of vertices u,v in G there is a unique path in T from u to v. Finally, a uniform spanning tree is just a random selection of a spanning tree. G.F.Lawler, O.Schramm and W.Werner recently proved that the scaling limits of both these processes are described by stochastic Loewner evolution. This talk is intended to give an overview of their results.
Graduate Seminar Tuesday, 9/21/2004 Time: 5:30-7 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Al Baernstein Washington University Professor	Title: Symmetrization in Analysis
Seminar Wednesday, 9/22/2004 Time:10-11:30 Room 199 Host: G.V. Ravindra	Speaker: G.V. Ravindra Washington University	Title: Vector Bundles on Complex Projective Spaces
Geometry Seminar Wednesday, 9/22/2004 Time: 4-5:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Gary Jensen Washington University Professor	Title: The Willmore functional in Moebius Geometry
Wavelets Seminar Friday, 9/24/2004 Time: 3:30 Room 199 Host: Prof. Guido Weiss	Speaker: Prof. Ed Wilson Washington University Professor	Title: Shift invariant spaces and the dimension function
Analysis Seminar Monday, 9/27/2004 Time: 4:00 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Javier Soria Washington University Visiting Professor	Title: Fixed points for the Hardy-Littlewood maximal operator
Math Club Meeting Monday, 9/27/2004 Time: 4:30 Room 222 Host: Prof. John Shareshian	Speaker: Ben Braun Washington University Graduate Student	Title: Some irrational numbers
Albegraic Geometry Seminar Tuesday, 9/28/2004 Time: 4:00 Room 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. A.P. Rao University of Missouri, St. Louis Professor	Title: ACM bundles on hypersurfaces
Graduate Seminar Tuesday, 9/28/2004 Time: 5-6:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. N. Mohan Kumar Washington University Professor	Title: Number of defining equations for an algebraic variety
Seminar Wednesday, 9/29/2004 Time:10-11:30 Room 199 Host: G.V. Ravindra	Speaker: G.V. Ravindra Washington University	Title: Vector Bundles on Complex Projective Spaces
Geometry Seminar Wednesday, 9/29/2004 Time: 4-5:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Gary Jensen Washington University Professor	Title: Euclidean geometry in Moebius Geometry
Colloquium Thursday, 9/30/2004 Time: 4-5:30, Tea:4-4:30 Room 199 Host: Statistics	Speaker: Prof. Liang Peng Georgia Institute of Technology	Title: Confidence intervals for high quantiles
Abstract: Estimating high quantiles plays an important role in the context of risk management. This involves extrapolation of an unknown distribution function. Here we propose three methods, i.e., the normal approximation method, the likelihood ratio method and the data tilting method, to construct confidence intervals for high quantiles of a heavy tailed distribution. Further, we apply these methods to construct a confidence interval for the conditional Value-at-Risk based on GARCH models.
OCTOBER
Wavelet Seminar Friday, 10/1/2004 Time: 3:00 Room 199 Host: Prof. Guido Weiss	Speaker: Prof. Ed Wilson Washington University Professor	Title: Shift-invariant spaces and their extensions
Colloquium Friday, 10/1/2004 Time: 4-5:30, Tea:4-4:30 Room 199 Host: Prof. John Shareshian	Speaker: Prof. Stephen Smith University of Illinois, Chicago	Title: Quasithin groups and the classification of the finite simple groups
Abstract: It is fairly well known (perhaps notorious) in the mathematics community that the classification of the finite simple groups, announced around 1980, remained incomplete because of the non-publication by G. Mason of his work on the case called ``quasithin'' groups. It is starting to become more generally known that this gap is now being filled---by the impending publication of a new treatment of those groups by Aschbacher and Smith. (See for example Aschbacher's hour address at the January 2004 AMS annual meeting in Phoenix, printed in the Notices of the AMS in August 2004; and also the interview of Serre in the February 2004 Notices). The talk will be expository and historical: beginning with the background of the effort to classify simple groups during the 1960s and 1970s, and describing the place of the quasithin groups within that overall context. I will also try to give a brief overview of some of the ideas involved in the new Aschbacher-Smith work on the quasithin groups; in particular, indicating why that treatment is necessarily fairly lengthy (about 1200 pages, in volumes 111 and 112 of Surveys and Monographs of the AMS, now well along in the production process at AMS).
Major Oral Monday, 10/4/2004 Time: 4:00 Room 199	Speaker: Paul Koester Washington University Graduate Student	Title: Szemeredi's Theorem on Arithmetic Progressions
Abstract: Fix a real number 00. More simply, arithmetic progressions cannot be avoided in dense sets. It is of interest to determine the right rate of growth of N(delta,k) as a function of delta. However, Szemeredi's proof gives extremely weak bounds on N(delta;k). In 2001 W.T. Gowers gave a new proof of Szemeredi's theorem and obtained fairly good control of N(delta;k). Gowers' proof is number theoretic and Fourier analytic, whereas Szemeredi's proof is graph theoetic. In this talk, we discuss Gowers' proof adapted to the special case k=3, and we mention some of the problems one must overcome to generalize the proof to k\geq 4.
Algebraic Geometry Seminar Tuesday, 10/5/2004 Time: 4:00 Room 199 Host: N. Mohan Kumar	Speaker: Prof. A.P. Rao University of Missouri/St. Louis Professor	Title: ACM bundles on hypersurfaces
Graduate Seminar Tuesday, 10/5/2004 Time: 5:30-7 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Zhengjun Zhang Washington University Professor	Title: Statistics of Extremes
Seminar Wednesday, 10/6/2004 Time:10-11:30 Room 199 Host: G.V. Ravindra	Speaker: G.V. Ravindra Institute of Mathematics - Chennai, India Washington University William Chauvenet Lecturer	Title: Vector Bundles on Complex Projective Spaces
Minor Oral Wednesday, 10/6/2004 Time:3-4 Room 199	Speaker: Cindy Traub Washington University Graduate Student	Title: Topological Clues to a Graph Theoretical Puzzle
Abstract: A monotone graph property is a collection of graphs on a finite vertex set, such that the collection is invariant under both edge removal and permutations of the vertex set. Some familiar such properties include planarity and k-colorability. Must one inquire about every edge of a graph G to determine if the graph has a certain monotone graph property? I will present results of Kahn, Saks, and Sturtevant which use topology to address this question.
Colloquium Thursday, 10/7/2004 Time: 4:30-5:30, Tea:4-4:30 Room 199 Host: Prof. John McCarthy	Speaker: Prof. Victor Vinnikov Ben Gurion University of the Negev	Title:Determinantal representations of polynomials, and applications.
Abstract: We consider the representation of a polynomial as the determinant of a matrix of linear forms. In case the polynomial has real coefficients, we are particularly interested in determinantal representations whose coefficient matrices are complex Hermitian or real symmetric. Of even greater interest is the question of when one can choose the coefficient matrices to be positive definite. Besides being an interesting question of algebraic geometry, and having been considered as such already by Dixon in the early 1900s, determinantal representations turn up in a variety of applications, among them: 1) spectral theory for commuting tuples of nonselfadjoint and nonunitary operators, 2) hyperbolic partial differential equations: a recently established 40-year old conjecture of Lax on homogeneous hyperbolic polynomias in three variables, 3) the question of representation of convex sets by linear matrix inequalities, a key issue in recent approaches to control theory, and 4) the problem of realization of a matrix-valued rational function of several variables as the transfer function of a linear multidimensional system. We shall discuss some of these applications, as well as the key difference between the case of polynomials in two variables (where a fairly complete algebro-geometrical theory of determinantal representations is available) versus the higher dimensional case. Towards the end of the talk, time permitting, we shall discuss a new highly algorithmic approach to the explicit construction of determinantal representations, based on the study of rational functions of several noncommuting variables.
Seminar Friday, 10/8/2004 Time: 11:00am Room 199 Host: Prof. John McCarthy	Speaker: Prof. Victor Vinnikov Ben Gurion University of the Negev	Title: Commuting isometries and commuting contractions with finite defects and algebraic curves
Abstract: This is a chapter in a long saga whose ultimate long term goal is to develop spectral analysis and model theory for nonunitary representations of discrete groups (or nonselfadjoint representations of Lie algebras), especially those with finite defects (or of finite nonhermitian rank). The main player turns out to be a so called operator v essel. This is an algebraic structure reflecting an interplay between several operators with given commutation relations. From a system theory point of view we are dealing here with a (conservative) system involving on a discrete group (or on a Lie group), much as in the standard model theory for a nonunitary operator (or a nonselfadjoint operator) we are dealing with a system evolving on ${\mathbb Z}$ (or on ${\mathbb R}$); however this system is overdetermined, and the vessel structure provides us with compatibility difference equations (or differential equations) for the input and the output signal. In the commutative case the vessel structure leads to function theory on a compact real Riemann surface. In this talk we shall introduce the vessels associated with pairs of commuting contractions. We shall discuss how a pair of commuting (completely non unitary) isometries with finite defects satisfy a polynomial equation in two variables, and the corresponding functional models on a Riemann surface. Time permitting, we shall also discuss the corresponding model theory for pairs of commuting contractions with finite defects and its relevance for understanding the geometry of minimal unitary diations.
Analysis Seminar Monday, 10/11/2004 Time: 4:00 Room 199 Host: Prof. John McCarthy	Speaker: Prof. Maria Carro Washington University Visiting Professor	Title: On weak extrapolation theory and the problem of the almost everywhere convergence of the Fourier Series
Algebraic Geometry Seminar Tuesday, 10/12/2004 Time: 4:00 Room 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. Nikita Netsvetaev St. Petersburg University/University of Missouri, Saint Louis	Title: Global Toplology of Complex Projective varieties (with or without isolated singularities).
Graduate Seminar Tuesday, 10/12/2004 Time: 5:30-7 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. David Wright Washington University Professor, Mathematics Department Chair	Title: Polynomial Automorphisms, Algebraic Geometry, and Combinotorics
Seminar Wednesday, 10/13/2004 Time:10-11:30 Room 199 Host: G.V. Ravindra	Speaker: G.V. Ravindra Washington University William Chauvenet Lecturer	Title: Vector Bundles on Complex Projective Spaces
Colloquium Thursday, 10/14/2004 Time: 4-5:30, Tea:4-4:30 Room 199 Host: Prof. Al Baernstein	Speaker: Prof. Mike Frazier Michigan State University	Title: Matrix Weights and Besov Spaces
Abstract: In the early 1970s Hunt, Muckenhoupt and Wheeden found necessary and sufficient conditions on a weight w for the Hilbert transform to be bounded on L^p(w). In the mid 1990s, Nazarov, Treil, and Volberg answered the same question the vector-valued space L^p(W), where W is a positive-definite matrix weight. I will discuss joint work with Svetlana Roudenko, in which we develop a theory of Besov spaces with matrix weights. In particular, we obtain necessary and sufficient conditions on two matrix weights to obtain the vector-valued analogue of the classical trace theorem for Besov spaces.
Wavelet Seminar Friday, 10/15/2004 Time: 3:30 Room 113, PLEASE NOTE CHANGE Host: Prof. Guido Weiss	Speaker: Prof. Mike Frazier Michigan State University	Title: Car rattles and the shift-invariant wavelet transform
Analysis Seminar Monday, 10/18/2004 Time: 4:00 Room 199 Host: Prof. John McCarthy	Speaker: Prof. Kevin Wildrick University of Michigan Professor	Title: Quasisymmetry and 2-dimensional Metric Spaces
Abstract: Quasisymmetric maps are homeomorphisms between metric spaces which almost preserve relative distance. Quasisymmetry may be viewed as a generalization of quasiconformality to metric spaces. We will discuss the definitions and some key results, and report on current research exploring quasisymmetric rigidity for 2-dimensional spaces.
Algebraic Geometry Seminar Tuesday, 10/19/2004 Time: 4:00 Room 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. Nikita Netsvetaev St. Petersburg University/University of Missouri, Saint Louis	Title: Global Toplology of Complex Projective varieties (with or without isolated singularities).
Graduate Seminar Tuesday, 10/19/2004 Time: 5-6:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Richard Rochberg Washington University Professor	Title: The Shift Operator on the Hardy Space
Abstract: The Shift Operator on the Hardy space is a place where Hilbert space theory (infinite dimensional linear algebra) meets complex function theory (theory of functions represented by power series) for an extremely productive interaction. I will give an informal description of how this interaction comes about and some of the results it leads to, and will mention a couple of open questions.
Seminar Wednesday, 10/20/2004 Time:10-11:30 Room199 Host: G.V. Ravindra	Speaker: G.V. Ravindra Washington University William Chauvenet Lecturer	Title: Vector Bundles on Complex Projective Spaces
Geometry Seminar Wednesday, 10/20/2004 Time: 4-5:30 Room199 Host: Prof. Gary Jensen	Speaker: Prof. Quo-Shin Chi Washington University Professor	Title: Conformal Area and the Willmore Conjecture I
Colloquium Thursday, 10/21/2004 Time: 4-5:30, Tea:4-4:30 Room 199 Host: Statistics	Speaker: Prof. Richard Davis Colorado State University	Title: Structural Break Detection in Time Series Models
Abstract: Much of the recent interest in time series modeling has focused on data from financial markets, from communications channels, from speech recognition and from engineering applications, where the need for non-Gaussian, non-linear, and nonstationary models is clear. With faster computation and new estimation algorithms, it is now possible make significant in-roads on modeling more complex-phenomena. In this talk, we will develop estimation procedures for a class of models that can be used for analyzing a wide range of time series data that exhibit structural breaks. The novelty of the approach taken here is to combine the use of genetic algorithms with the principle of minimum description length (MDL), an idea developed by Rissanan in the 1980s, to find "optimal" models over a potentially large class of models. This methodology will be demonstrated in a number of applications. In addition to fitting piece-wise autoregressive models, which works well even for local stationary models that are smooth, we will also consider extensions to piece-wise nonlinear models. The latter presents some formidable challenges since a nonlinear model can often appear to have quite varied behavior over different time epochs. (This research is joint work with Thomas Lee and Gabriel Rodriguez-Yam.)
Wavelet Seminar Friday, 10/22/2004 Time: 3:00 Room 199 Host: Prof. Guido Weiss	Speaker: Prof. Darrin Speegle Saint Louis University Professor	Title: A characterization of matrices yielding wavelets of order infinity
Colloquium Friday, 10/22/2004 Time: 4:30-5:30, Tea:4-4:30 Room 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. Francisco Javier Gallego Departamento de Algebra - Facultad de Ciencias Matemticas Universidad Complutense de Madrid - Madrid, Spain	Title: Smoothing of Multiple Structures
Abstract: In this talk I will present a unified way to smooth multiple structures over smooth varieties. We are interested in certain kinds of multiple structures called "ropes" These are schemes which locally look like Y × k[x1,…,xn]⁄ (x1,…,xn)^2. By smoothing a rope we mean that the rope is the flat limit of a family of smooth varieties. To illustrate the general theory we will focus on the smoothing of ropes of multiplicity 3 over P^1 and on some interesting class of ropes of multiplicity 2 (called "K3 carpets") over rational ruled surfaces and over Enriques surfaces. To construct a smoothing we develop a theory that connects, on the one hand, first order infinitesimal deformations of a finite morphism to projective space and, on the other hand, morphisms from a rope to projective space. In our arguments we also use the theory of moduli spaces, Hilbert schemes and quot schemes. This is a joint work with M. González and B.P. Purnaprajna.
Analysis Seminar Monday, 10/25/2004 Time: 4:00 Room 199 Host: Prof. John McCarthy	Speaker: Prof. Richard Rochberg Washington University Professor	Title: Interpolating sequences for the Besov spaces in higher dimension
Abstract: In a 2002 paper Bjarte Boe described the interpolating sequences for the classical Besov spaces on the disk as well as for their multiplier algebra. Nicola Arcozzi, Eric Sawer, and I have extended some of Boe's results to Besov spaces on the complex ball. I will describe these results and some of the techniques used in the proofs.
Math Club Meeting Monday, 10/25/2004 Time: 4:30 Room: Eads Hall, Rm. 115 Host: Prof. John Shareshian	Speaker: Dr. Michael Province Washington University School of Medicine, Division of Biostatistics	Title: Should the Monkey who Types 'Hamlet' Win the Pulitzer Prize? Multiple Testing Issues in the Genomic Era
Graduate Seminar Tuesday, 10/26/2004 Time: 5:30-7 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. John Shareshian Washington University Professor	Title: Discrete Morse Theory
Abstract: Discrete Morse theory, developed by R. Forman, is a combinatorial analogue of the well studied and important smooth Morse theory. It allows one to reduce a given cell complex to a smaller complex that shares many topological properties with the the original one. I will present the main results of discrete Morse theory and show some applications.
Seminar Wednesday, 10/27/2004 Time:10-11:30 Room 199 Host: G.V. Ravindra	Speaker: Prof. Francesco Malaspina University of Missouri, St. Louis/University of Turin	Title: Vector Bundles on Projective Spaces
Geometry Seminar Wednesday, 10/27/2004 Time: 4-5:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Quo-Shin Chi Washington University Professor	Title: Conformal Area and the Willmore Conjecture II
NOVEMBER
Colloquium Monday, 11/1/2004 Time: 4-5:30 Room 216 Host: G.V. Ravindra	Speaker: Prof. Amalendu Krishna TIFR, India and IAS, Princeton University	Title: Zero-Cycles on Singular Surfaces
Abstract: We will discuss the understanding of zero-cycles on singular surface. The talk will concentrate more on some recent results which compare the Chow group of zero-cycles on a surface $X$ with arbitrary singularities with that of the analogous group on any resolution with singularities of $X$. We will discuss some consequences to zero-cycles on affine surfaces.
Analysis Seminar Monday, 11/1/2004 Time: 4-5 Room 199 Host: Prof. John McCarthy	Speaker: Saida Sultanic Washington University Graduate Student	Title: Sub-Bergman Hilbert Spaces on the Unit Disk
Abstract: For a contractive Toeplitz operator Tφ on the Bergman space L^2a(D), we define H(φ) to be the range of S := (1-TφTφ^*)^1/2 whose inner product is given by <Sf, Sg> = <f, g>L^2a(D), where f and g are in the complement of ker(S). Similarly, we define H(φ^-). The spaces H(φ) and H(φ^-) are called sub-Bergman Hilbert spaces. We discuss some of the properties of these spaces.
Math Club Meeting Monday, 11/1/2004 Time: 4:30-5:30 Eads Hall, Rm. 115 Host: Prof. John Shareshian	Speaker: Dr. Jerry Cline Washington University Adjunct Professor/University College	Title: Mathematics in Industry - A Personal Perspective
Abstract: The main technical content is an overview of mathematical experiences on four programs that I worked on over the years: Space Shuttle Orbiter-separation dynamics, Tomahawk Cruise Missle-threat avoidance, Viking Mission to Mars-hours of daylight, Galileo Mission to Jupiter-near planet guidance. The overview of each of the four includes: a descrpition of the problem, the solution approach taken, mathematics and/or physics needed and the results or final product. The talk also includes a brief discussion of math-related careers in aerospace, math skills that travel well in industry and suggestions for some career-enhancing non-mathematical skills.
Algebraic Geometry Seminar Tuesday, 11/2/2004 Time: 4:00 Room 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. Nikita Netsvetaev St. Petersburg University/University of Missouri, Saint Louis	Title: Global Toplology of Complex Projective varieties (with or without isolated singularities).
Graduate Seminar Tuesday, 11/2/2004 Time: 5:30-7 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Quo-Shin Chi Washington University Professor	Title: Holonomy groups in differential geometry
Abstract: If one travels with a compass from the north pole along a longitude to the equator, continues to travel on the equator for some time and returns to the north pole along another longitude, one finds that the compass needle turns by an angle. In geometric terms, the compass needle, regarded as a tangent vector to the sphere, undergoes a parallel translation along a loop starting and ending at the north pole. The turn of the needle along a loop is the telltale sign that the earth is not flat. It is a measurement intrinsic to the sphere without one leaving the earth to see, which gets especially significant if one thinks about the impossibility of leaving the Universe to check whether it is flat or not. Parallel translations in a space give rise to holonomy groups. I'll survey the classification of the holonomy groups in both the metric and nonmetric cases.
Seminar Wednesday, 11/3/2004 Time:10-11:30 Room 199 Host: G.V. Ravindra	Speaker: Prof. Francesco Malaspina University of Missouri, St. Louis/University of Turin	Title: Vector Bundles on Complex Projective Spaces
Geometry Seminar Wednesday, 11/3/2004 Time: 4-5:30 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Quo-Shin Chi Washington University Professor	Title: Conformal Area and the Willmore Conjecture III
Major Oral Monday, 11/8/2004 Time: 4:00 Room 199	Speaker: Prasad Vegulla Washington University Graduate Student	Title: Generalization of Von Neumann's spectral sets
Abstract: We extend Von Neumann's theory of spectral sets in order to deal with the numerical range of operators. We'll show that for any bounded linear operator on a Hilbert space, its numerical range is K-Spectral. As an application we've the proof of Burkholder's conjecture.
Math Club Meeting Monday, 11/8/2004 Time: 5:00-PLEASE NOTE TIME CHANGE Room: Cupples I, Rm. 222 Host: Prof. John Shareshian	Speaker: David Opela Washington University Graduate Student	Title: Public Key Cryptography
Algebraic Geometry Seminar Tuesday, 11/9/2004 Time: 4-5:30 Room 199	Speaker: Sooraj Kuttykrishnan Washington University Graduate Student	Title: A proof of Abhyankar-Moh theorem
Abstract: I will present proof of Abhyankar-Moh theorem and deduce Jung's theorem about automorphisims of the plane (charecteristic zero case) i.e. Autk k[X,Y] = T(k,2) where T(k,2) is the group of tame automorphisms. The proof I will present is due to Andrzej Nowicki.
Graduate Seminar Tuesday, 11/9/2004 Time: 5:30-7 Room 199 Host: Prof. Gary Jensen	Speaker: Prof. Nik Weaver Washington University Professor	Title: Two Noncommutative Spaces
Abstract: I will give a basic description of quantum tori and the hyperfinite II_1 factor, with emphasis on why they are thought of as "noncommutative" topological or measure-theoretic spaces, and how this relates to the quantum mechanics .
Seminar Wednesday, 11/10/2004 Time: 10-11:30 Room 199 Host: G.V. Ravindra	Speaker: Prof. Francesco Malaspina University of Missouri, St. Louis/University of Turin	Title: Vector Bundles on Complex Projective Spaces
Geometry Seminar Wednesday, 11/10/2004 Time: 4-5:30 Room 199 Host: Prof. Gary Jensen	Speaker: Tim Lott Washington University Graduate Student	Title: Hopf tori in S^3
Abstract: A surface in R^3 is a Willmore surface if it is an extremal surface for the functional given by the integral of the mean curvature squared. The only examples of compact embedded Willmore surfaces known for some time stemmed from the stereographic projections of compact embedded minimal surfaces in S^3. Following a paper by Pinkall, I will present his constructions for new examples of such surfaces as an application of Hopf tori.
Wavelets Seminar Friday, 11/12/2004 Time: 3:30 Room 199 Host: Prof. Guido Weiss	Speaker: Gitta Kutyniok Washington University Visiting Research Associate	Title: A unified approach to reproducing systems on locally compact abelian groups
Abstract: In this talk we study a very general class of reproducing in L^2(G), where G is a locally compact abelian group, and derive an exact characterization of those systems which form a Parseval frame. Then we focus on the special case of affine systems and discuss some applications. This is part of an ongoing research joint with D. Labate (NC State University).
Analysis Seminar Monday, 11/15/2004 Time: 4-5 Room 199 Host: Prof. John McCarthy	Speaker: Gregory Knese Washington University Graduate Student	Title: Operator Theory and the Caratheodory Metric
Abstract: I will begin by giving an overview two different ideas from two different fields: namely, von Neumann's notion of a spectral set from operator theory, and the Caratheodory and Kobayashi metrics from complex geometry or several complex variables. These seemingly unrelated ideas will be united in order to prove the important theorem of Lempert, which says that on a bounded convex domain in C^n the Caratheodory and Kobayashi metrics agree. (This talk is based on the 1990 paper by Jim Agler of the same title.)
Math Club Meeting Monday, 11/15/2004 Time: 4:30 Room 222 Host: Prof. John Shareshian	Speaker: Brad Henry Washington University Graduate Student	Title: A cute proof of the Art Gallery Problem
Abstract: In 1973, Klee asked, "How many guards are needed in order to guard every point in an n-vertex polygonal art gallery?" We will examine Fisk's beautiful proof of the claim that floor (n/3) guards are sufficient for such an art gallery.
Algebraic Geometry Seminar Tuesday, 11/16/2004 Time: 4-5 Room 199 Host Prof. N. Mohan Kumar	Speaker: Sooraj Kuttykrishnan Washington University Graduate Student	Title: A proof of Abhyankar-Moh theorem, II
Graduate Seminar Tuesday, 11/16/2004 Time: 5-6:30 Room: 199 Host: Prof. Gary Jensen	Speaker: Prof. Guido Weiss Washington University Professor	Title: A simple explanation of what wavelets are
Abstract: I will explain why wavelets and similar reproducing system are natural. Moreover, beautiful transparencies will substitute proofs.
Seminar Wednesday, 11/17/2004 Time: 10-11:30 Room: 199 Host: G.V. Ravindra	Speaker: Zemin Zeng Washington University Graduate Student	Title: Vector Bundles on Complex Projective Spaces
Major Oral Wednesday, 11/17/2004 Time: 3:30-4:30 Room: 115	Speaker: Aaron Wiechmann Washington University Graduate Student	Title: Virtual Fiberings of 3-Manifolds
Abstract: In the early 1980's Thurston posed the following question: Is every compact, orientable, finite volume hyperbolic 3-manifold finitely covered by a surface bundle over the circle? Although much has been learned about 3-manifolds that fiber, a considerable amount less is known about 3-manifolds that do not fiber and yet have a finite fibered cover. In fact, even examples of such have not been forthcoming. This talk will evaluate what the conditions of this conjecture imply about our 3-manifold, introduce techniques to determine possible fiberings, and examine some known examples.
Colloquium Thursday, 11/18/2004 Time: 4:30-5:30, Tea: 4-4:30 Room: 199 Host: Ed Wilson	Speaker: Prof. Floyd Williams University of Massachusetts, Amherst	Title: Solutions, harmonic maps, and gravity
Abstract: We consider some remarkable connections between three apparently unrelated notions: solitons (solid wave solutions of the sine-Gordon equation), harmonic maps (solutions of non-linear Laplace equations) and gravity (solutions of 2 and 4 dimensional Einstein equations). In particular we find a connection between solitons and 2-dimensional black holes. Some concrete computational examples are presented to keep the discussion self-contained and to avoid general abstract theory.
Wavelets Seminar Monday, 11/22/2004 Time: 3:30 Room: 216 Host: Prof. Guido Weiss	Speaker: Prof. Prof. Rick Laugesen University of Illinois, Champaign-Urbana	Title: Spanning and Sampling in L^p by Small-scale Affine Systems
Abstract: We show explicitly how to reconstruct an arbitrary L^p function f(x) from its local average values at points of the form x=2^{-j}k. The reconstruction is accomplished using only the translates and dilates \psi(2^j x-k) of a single "arbitrary" function \psi with integral 1. This sounds like spline approximation theory, or Strang-Fix quasi-interpolation theory, but those theories assume that the integer translates of \psi form a partition of unity. We eliminate that requirement - Banach and Saks show us that errors at different scales will automatically cancel.
Algebraic Geometry Seminar Tuesday, 11/23/2004 Time: 4:00 Room: 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. N. Mohan Kumar Washington University Professor	Title: Barth Theorems
Seminar Wednesday, 11/24/2004 Time: 10-11:30 Room: 199 Host: G.V. Ravindra	Speaker: Zemin Zeng Washington University Graduate Student	Title: Vector Bundles on Complex Projective Spaces
Colloquium Monday, 11/29/2004 Time: 4:30-5:30, Tea 4-4:30 Room: 199 Host: Prof. Jack Shapiro	Speaker: Prof. Jack Sonn Israel Institute of Technology	Title: Irreducible Polynomials Which Are Reducible Locally Everywhere
Abstract: There exists a polynomial f(x) of degree n with integer coefficients which is irreducible over the rationals but reducible modulo p for all primes p if and only if n is not a prime number. The same result holds with "reducible mod p" replaced by "reducible over Q_p", and generalizes to arbitrary global fields. (Joint work with Bob Guralnick and Murray Schacher).
Analysis Seminar Monday, 11/29/2004 Time: 4:00 Room: 216, PLEASE NOTE ROOM CHANGE Host: Prof. John McCarthy	Speaker: David Opela Washington University Graduate Student	Title: Dilations with Relations
Abstract: An operator U on (a Hilbert space) K is a dilation of an operator A on H (H \subset K), iff PU^n|H = A^n, for all n > 0, where P is the orthogonal projection from K to H. It is known that two commuting contactions have commuting unitary dilations, but this does not generalize to a triple of commuting contractions. I will talk about generalizations of these results and some related ideas.
Algebraic Geometry Seminar Tuesday, 11/30/2004 Time: 4:00 Room: 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. N. Mohan Kumar Washington University Professor	Title: Barth Theorems
Graduate Seminar Tuesday, 11/30/2004 Time: 5:30-7 Room: 199 Host: Prof. Gary Jensen	Speaker: Prof. Stanley Sawyer Washington University Professor	Title: Stepping stone models from mathematical biology: Random migration, isolation by distance, and graphics
DECEMBER
Seminar Wednesday, 12/1/2004 Time: 10-11:30 Room: 199 Host: G.V. Ravindra	Speaker: Zemin Zeng Washington University Graduate Student	Title: Vector Bundles on Complex Projective Spaces
Geometry Seminar Wednesday, 12/1/2004 Time: 4-5:30 Room: 199 Host: Prof. Gary Jensen	Speaker: Prof. Jae-Hyouk Lee Washington University William Chauvenet Lecturer	Title: Deformation of Special Lagrangian Submanifolds
Colloquium Thursday, 12/2/2004 Time: 4:30-5:30, Tea: 4-4:30 Room: 199 Host: Prof. Rachel Roberts	Speaker: Prof. Peter Scott University of Michigan	Title: Canonical decompositions of groups
Abstract: In the 1970's, Jaco and Shalen and independently Johannson gave a canonical decomposition of 3-manifolds which is now called the JSJ decomposition. Starting ten years later, it slowly became clear that their decomposition can be viewed as a special case of some general group theoretic results. Several authors have investigated this starting in the 1980's. In this talk, I will describe the JSJ-decomposition of a 3-manifold, and explain how the more recent purely algebraic results are related. I will also discuss some simple examples.
Topology Seminar Monday, 12/06/2004 Time: 3-5 Room: 199, 3-4; Room 106, 4-5 Host: Prof. Rachel Roberts	Speaker: Prof. Genevieve Walsh University of Texas, Austin	Title: Virtually Haken fillings and semi-bundles
Analysis Seminar Monday, 12/06/2004 Time: 4:00 Room: 199 Host: Prof. John McCarthy	Speaker: Ilya Krishtal Washington University William Chauvenet Lecturer	Title: Operators with 2-point Bohr spectrum and difference equations
Abstract: I will apply the ideas of the theory of linear relations and causal operators that I described in my previous talks to present some connection between the spectral theory of operators with 2-point Bohr spectrum and differential and difference equations.
Algebraic Geometry Seminar Tuesday, 12/7/2004 Time: 4:00 Room: 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. N. Mohan Kumar Washington University Professor	Title: Barth Theorems
Graduate Seminar Tuesday, 12/7/2004 Time: 5:30-7 Room: 199 Host: Prof. Gary Jensen	Speaker: Prof. Renato Feres Washington University Professor	Title: The foliated Liouville problem
Abstract: It is well-known that harmonic functions on a compact Riemannian manifold without boundary are constant, due to the maximum principle. We wish to understand whether a similar property should hold in the setting of compact foliated manifolds with (generally) non-compact Riemannian leaves, and leafwise harmonic functions. We'll see that, under a variety of conditions, foliated manifolds are harmonically simple, that is, any such functions are indeed leafwise constant. On the other hand, there are examples of foliated spaces that are not harmonically simple. These examples are directly related to the dynamics of actions of subgroups of the Mobius group on the space of bounded harmonic functions on the Poincare disc. We will see that this action is "chaotic." We will also look into the holomorphic version of the problem, in which case the manifold is foliated by complex leaves and functions are leafwise holomorphic.
Seminar Wednesday, 12/8/2004 Time:10-11:30 Room: 199 Host: G.V. Ravindra	Speaker: Prof. Francesco Malaspina University of Missouri, St. Louis/University of Turin	Title: Vector Bundles on Complex Projective Spaces
Geometry Seminar Wednesday, 12/8/2004 Time: 4-5:30 Room: 199 Host: Prof. Gary Jensen	Speaker: Prof. Jae-Hyouk Lee Washington University William Chauvenet Lecturer	Title: Deformation of Special Lagrangian Submanifolds
Colloquium Thursday, 12/9/2004 Time: 4-5:30, Tea: 4-4:30 Room: 199 Host: Prof. Guido Weiss	Speaker: Prof. Guido Weiss Washington University Professor	Title: All sorts of fascinating things about wavelets that will be understandable by anyone with a central nervous system and a minimal knowledge of Fourier Analysis, Linear Algebra and Functional Analysis.
Abstract: This is a "practice talk" for one I will give in Spain six days later. My talk here will be in English.
Algebraic Geometry Seminar Tuesday,12/14/2004 Time: 4:00 Room: 199 Host: Prof. N. Mohan Kumar	Speaker: Prof. N. Mohan Kumar Washington University	Title: Barth Theorems
Seminar Wednesday,12/15/2004 Time: 10-11:30 Room: 199 Host: G.V. Ravindra	Speaker: Prof. Prof. Francesco Malaspina University of Missouri, St. Louis/University of Turin	Title: Vector Bundles on Complex Projective Spaces

Last Updated 11/24/2010