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Fall 2008 Seminars Schedule
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Mondays
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Graduate-Organized Talks Seminar
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Time: 3:00-4:00pm *
Location: Cupples I, Room 199
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Host: Larry Lin
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Analysis Seminar
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Time: 4:00-5:00pm *
Location: Cupples I, Room 199
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Host: Professor John McCarthy
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Algebraic Geometry Seminar
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Time: 4:00-5:30pm *
Location: Cupples I, Room 111
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Host: Professor Mohan Kumar
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Tuesdays
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Symplectic Geometry and Topology Seminar
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Time: 4:00-5:00pm *
Location: Cupples I, Room 216
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Host: Professor Xiang Tang
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Statistics Seminar
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Time: 4:30-5:30pm *
Location: Cupples I, Room 199
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Host: Professor Jimin Ding
Statistics Seminar Schedule
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Wednesdays
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Graduate Student Seminar
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Time: 4:00-5:00pm, pizza *
Location: Cupples I, Room 199
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Host: Professor Steven Krantz
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Thursdays
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Topology Seminar
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Time: 10:00-11:00am *
Location: Cupples I, Room 199
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Host: Professor Rachel Roberts
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Combinatorics and Group Theory Seminar
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Time: 3:30-4:30pm *
Location: Eads, Room 209
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Host: Jonathan Browder
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Fridays
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Wavelet Seminar
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Time: 3:30-4:30pm *
Location: Cupples I, Room 199
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Host: Professor Guido Weiss
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* Times may vary, please consult the schedule below for details:
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SEPTEMBER 2008
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Tuesday, September 2
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Thesis Defense Presentation
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Time: 3:00-4:30pm
Location: Cupples I, Room 199
Host: Prof. John Shareshian
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Speaker: Igor Konfisakhar
Department of Mathematics, Washington University in St. Louis
Title: When do Distinct Numbers Have Equal Multinomial Coefficients?
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Tuesday, September 2
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Symplectic Geometry and Topology Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 216
Host: Assist. Prof. Xiang Tang
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Speaker: Assistant Professor Xiang Tang
Department of Mathematics, Washington University in St. Louis
Title: Introduction
Abstract: Discuss plans for this weekly, semester long seminar.
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Wednesday, September 3
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Algebraic Geometry Seminar
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Time: 4:00-5:30pm
Location: Cupples I, Room 111
Host: Prof. Mohan Kumar
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Speaker: Professor A. Prabhakar Rao
Department of Mathematics, University of Missouri - St. Louis
Title: TBA
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Monday, September 8
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Analysis Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 199
Host: Prof. John McCarthy
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Speaker: Professor John McCarthy
Department of Mathematics, Washington University in St. Louis
Title: Organizational Meeting
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Tuesday, September 9
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Symplectic Geometry and Topology Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 216
Host: Assist. Prof. Xiang Tang
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Speaker: Michael B. Henry
Department of Mathematics, Washington University in St. Louis
Title: Almost Complex Structures on Symplectic Manifolds and Integrability
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Wednesday, September 10
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Algebraic Geometry Seminar
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Time: 4:00-5:30pm
Location: Cupples I, Room 111
Host: Prof. Mohan Kumar
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Speaker: Professor Payman Kassaei
Department of Mathematics, King's College, London
Title: Classical and Overconvergent Automorphic Forms
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Friday, September 12
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Wavelet Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 199
Host: Prof. Victor Wickerhauser
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Speaker: Professor Rong-
Qing Jia
Department of Mathematics, University of Alberta
Title: The Bregman Method for Image Denoising:
Convergence Analysis and New Algorithms
Abstract: The Total Variation model of Rudin, Osher, and Fatemi for
image denoising is considered to be one of the best denoising models.
But there were two serious issues about the ROF model. First, it was
very complicated to compute the solutions of the optimization problems
induced by the variational method. Second, it was difficult to extract
textures from images by using the ROF model. For the first issue,
Goldstein and Osher recently introduced the split Bregman method for
L1 regularized problems. The Bregman method gave rise to very
efficient algorithms for solutions of the ROF model. In this talk, we
will give a rigorous proof for the convergence of the Bregman method.
For the second issue, we will propose some new algorithms based on the
combination of the Bregman method with wavelet packet decompositions.
It will be demonstrated that our algorithms have better performance in
texture preservation.
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Monday, September 15
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Analysis Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 199
Host: Prof. John McCarthy
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Speaker: James Gill
Department of Mathematics, Washington University in St. Louis
Title: Unconditional Martingale Differences, Fourier Transforms, Stochastic
Analysis, and the Beurling-Ahlfors Transform
Abstract: The Beurling-Ahlfors transform is a singular integral transform
which lies at the heart of not only quasiconformal mapping, but elliptic
p.d.e.'s in the plane. A series of recent papers by Banuelos and his
collaborators have shown that this transform coincides with certain
martingale transforms of the heat extension using stochastic calculus. A
recent paper of Geiss, Montgomery-Smith and Saksman has shown that even
certain parts of this operator, when taken apart, have the same norm as the
probable norm of the entire operator. Some strong symmetries are here, and
still lie beneath the surface. I hope to give an overview of this
literature and sketch proofs of some of the main theorems.
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Monday, September 15
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Math Club Meeting
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Time: 5:15-6:00pm
Location: Cupples I, Room 199
Host: Prof. John McCarthy
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Movie: “The Proof”. This is a one hour movie about Andrew Wiles’s proof of Fermat’s last theorem. (Unlike last year, Shubho has checked that we actually have the right movie this time). Afterwards we’ll have pizza (lots) and say words (a few) about the math club.
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Tuesday, September 16
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Symplectic Geometry and Topology Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 216
Host: Assist. Prof. Xiang Tang
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Speaker: Wei Deng
Department of Mathematics, Washington University in St. Louis
Title: Kaehler surfaces and J-holomorphic curves
Abstract: We will talk about Kaehler manifolds by two-dimensional examples,
namely, Kaehler surfaces. We focus on a discussion of K3-surface. Next, we
outline the Fredholm theory and compactness of J-holomorphic curves by some
main results in the simplest case.
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Wednesday, September 17
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Algebraic Geometry Seminar
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Time: 4:00-5:30pm
Location: Cupples I, Room 111
Host: Prof. Mohan Kumar
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Speaker: Professor A. Prabhakar Rao
Department of Mathematics, University of Missouri - St. Louis
Title: Vector Bundles on Projective Spaces
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Thursday, September 18
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Topology Seminar
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Time: 10:00-11:00am
Location: Cupples I, Room 199
Host: Prof. Rachel Roberts
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Speaker: Professor Rachel Roberts
Department of Mathematics, Washington University in St. Louis
Title: The Curve Complex
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Thursday, September 18
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Combinatorics and Group Theory Seminar
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Time: 3:30-4:30pm
Location: Eads, Room 209
Host: Jonathan Browder
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Speaker: Joe Bohanon
Department of Mathematics, Washington University in St. Louis
Title: An Introduction to Coxeter Groups
Abstract: A Coxeter group is a finite group generated by
reflections. Simple examples include dihedral groups and symmetric
groups. I will present some of the basic definitions and results
leading to a full classification of Coxeter groups.
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Thursday, September 18
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Colloquium
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Time: Tea: 4:00-4:30pm
Talk: 4:30-5:30pm
Location: Cupples I, Room 199
Host: Prof. Guido Weiss
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Speaker: Professor Wang-Q Lim
Department of Mathematics, Lehigh University
Title: The Discrete Shearlet Transform : An efficient geometric multiscale analysis.
Abstract: A wavelet transform can be applied on the discrete data to obtain a
multiscale
representation of the original data. In order to go one step further, today
image
processing algorithms try to exploit some geometrical regularity of the
underlying
function. The main challenge in exploring geometry in images comes from the
discrete
nature of the data. I will introduce the discrete shearlet transform which
can capture
the intrinsic geometrical features of images. I will show that the
implementation of the
transform is built in the discrete domain multiresolution. Finally
applications to image
compression and noise removal will be shown.
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Friday, September 19
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Wavelet Seminar
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Time: 3:30-4:30pm
Location: Cupples I, Room 199
Host: Prof. Guido Weiss
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Speaker: Professor Wang-Q Lim
Department of Mathematics, Lehigh University
Title: Detection of smooth singularities using compactly supported
shearlets.
Abstract: It is now widely acknowledged that analyzing the intrinsic features of
multidimensional
functions is essential to obtain efficient representation of piecewise
smooth functions
in multidimensional spaces. In this talk, I will show that any singularities
along smooth
curves can be captured using compactly supported shearlets and discuss some
applications
of this.
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Monday, September 22
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Analysis Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 199
Host: Prof. John McCarthy
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Speaker: Professor Richard Rochberg
Department of Mathematics, Washington University in St. Louis
Title: Some Function Spaces Related To the Dirichlet Space
Abstract: There is a pair of function spaces that have a role in
analysis on the Dirichlet space that is analogous to the role of H1
and BMO in the theory of the Hardy space. I will define those spaces,
describe the analogy, and tell you some of the relatively little that
is known about the spaces.
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Tuesday, September 23
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Symplectic Geometry and Topology Seminar
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Time: 4:00-5:00pm
Location: Cupples I, Room 216
Host: Assist. Prof. Xiang Tang
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Speaker: Michael Deutsch
Department of Mathematics, Washington University in St. Louis
Title: Moment Maps
Abstract: We will discuss Hamiltonian group actions (with special
attention on S^1 actions), define the moment map in this context and
provide a number of examples. We will also vaguely indicate the notion of
symplectic reduction, in which the moment map provides an important tool
for generating exciting special cases.
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Tuesday, September 23
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Statistics Seminar
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Time: 4:30-5:30pm
Location: Cupples I, Room 199
Host: Assist. Prof. Jimin Ding
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Speaker: Professor Sarah Holte
School of Medicine, University of Washington
Title: Analysis and Design of Viral Dynamics Studies
Abstract: In recent years, investigators have used systems of differential
equations to evaluate pathogenesis due HIV-1 infection in humans. The
statistical methods used with these studies are either nonexistent or very
simple. In this talk, alternative methods of parameter estimation for
studies where estimation of parameters in systems of differential equations
from longitudinal data is required. In addition, methods which can be used
to design studies of this type will be described.
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Wednesday, September 24
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Graduate Student Seminar
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Time: 4:00-5:00pm, pizza
Location: Cupples I, Room 199
Host: Prof. Steven Krantz
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Speaker: Professor Steven Krantz
Department of Mathematics, Washington University in St. Louis
Title: Automorphism Groups of Domains.
Abstract: We treat the conformal (or biholomorphic) self-maps of
a domain in the plane or in complex space. These form
a group under composition of mappings, and in fact
they typically form a Lie group. The algebraic and
analytic properties of the group tell us about the
geometry of the domain and vice versa. In several complex
variables the study of the automorphism group serves
as a substitute for the Riemann mapping theorem (which fails
dramatically in that context).
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Thursday, September 25
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Loeb Lecture
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Time: Tea: 4:00-4:30pm
Talk: 4:30-5:30pm
Location: Cupples I, Room 199
Host: Prof. Al Baernstein
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Speaker: Professor Michael Aschbacher
Department of Mathematics, California Institute of Technology
Title: Modern Permutation Group Theory
Abstract: The classification of the finite simple groups and deep results on the
maximal subgroups of the simple groups
have made possible an effective theory of finite permutation groups.
This theory has been used to solve problems from various areas of
mathematics. I will describe the theory in general terms,
and mention a few open problems on the subgroup structure of simple
groups which may take the subject in new directions.
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Friday, September 26
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Wavelet Seminar
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Time: 3:00-4:00pm
Location: Cupples I, Room 199
Host: Prof. Guido Weiss
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Speaker: Professor Jeff Hogan
Department of Mathematics, University of Arkansas
Title: Sampling without Translation-Invariance
Abstract: The sampling theory of the Paley-Wiener spaces of bandlimited
signals is well-developed and forms one of the main mathematical
technologies underpinning our ability to perform digital calculations on
analog signals. These spaces, however, are but one example of the far
larger class of principal shift-invariant spaces (PSI's) – the "base
spaces" of multiresolution analyses. We ask what conditions can be placed
on generators $\varphi$of PSI's to ensure the validity of sampling schemes
for these spaces. While PSI's are shift-invariant, unlike the Paley-Wiener
spaces they fail to be translation-invariant and this causes a fundamental
problem for sampling algorithms. We investigate possible remedies.
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Friday, September 26
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Colloquium
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Time:Tea: 4:00-4:30pm
Talk: 4:30-5:30pm
Location: Cupples I, Room 199
Host: Prof. Guido Weiss
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Speaker: Professor Akram Aldroubi
Department of Mathematics, Vanderbilt University
Title: Invariance of Shift-Invariant Spaces
Abstract: Shift-invariant space is a space of functions that is invariant
under integer translations. Such spaces are often used as models for spaces
of signals and images in mathematical and engineering applications. This
paper characterizes those shift-invariant subspaces S that are also
invariant under additional (non-integer) translations. For the case of
nitely generated spaces, these spaces are characterized in terms of the
generators of the space. As a consequence, it is shown that principal
shift-invariant spaces with a compactly supported generator cannot be
invariant under any non-integer translations.
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Monday, September 29
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Graduate-Organized Talks Seminar
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Time:3:00-4:00pm
Location: Cupples I, Room 199
Host: Larry Lin
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Speaker: Michael B. Henry
Department of Mathematics, Washington University in St. Louis
Title: Building and distinguishing manifolds in dimensions 2 and 3
Abstract: A common task in mathematics is to determine when two objects are the
same and when they are different. For example, the Poincare
conjecture, which was recently turned into the Poincare Theorem, asks
if every closed, simply-connected 3-dimensional manifold is
homeomorphic to the 3-dimensional sphere. The other way to say this
is, " If it looks like the 3-sphere and it acts like the 3-sphere, must
it be the 3-sphere."
In this talk, we will consider various ways of constructing 2 and 3
dimensional manifolds and try to find techniques for determining when
two are the same and when they are different. In the 2-dimensional
case, all closed, orientable manifolds can be distinguished by a handy
little gadget called the genus. In the 3-dimensional case, the problem
of distinguishing manifolds is much harder.
This talk is specifically geared for first and second year graduate
students. It will involve a lot of pictures and a heavy dose of hand
waving. I will not assume any previous experience with the following
concepts: manifold, orientable, simply-connected, closed,
homeomorphic.
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Monday, September 29
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Special Seminar
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Time:4:00-5:00pm
Location: Cupples I, Room 113
Host: Prof. Steven G. Krantz
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Speaker: Professor Steven G. Krantz
Department of Mathematics, Washington University in St. Louis
Title: Basic Ideas of TeX and LaTeX
Abstract: We describe how to get started with
TeX and LaTeX. No previous experience
required. The first twenty lucky participants
will get a free MikTeX disc.
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Monday, September 29
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Analysis Seminar
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Time:4:00-5:00pm
Location: Cupples I, Room 199
Host: Prof. John McCarthy
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Speaker: Assistant Professor Xiang Tang
Department of Mathematics, Washington University in St. Louis
Title: Relative index of CR structures
Abstract: We discuss a new proof of the Atiyah-Weinstein conjecture on the
index of Fourier integral operators and the relative index of CR structures.
This talk is based on a recent joint work with Boutet de Monvel, Leichtnam,
and Weinstein.
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Monday, September 29
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Math Club
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Time:5:15-6:00pm
Location: Cupples I, Room 199
Host: Prof. John McCarthy
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Speaker: Professor John McCarthy
Department of Mathematics, Washington University in St. Louis
Title: The mathematics of voting, or how to ensure your candidate is democratically elected
Abstract: In many elections, the choice of voting system determines the outcome.
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