MATHEMATICS
TALK LIST
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JANUARY 2007 |
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Monday,
January 8, 2007 |
MATH TALK |
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Time:
2:00-3:00pm Location: Cupples
I, Room 199
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Speaker:
Mr. Department
of Mathematics, Title:
Moser's
method, Gray's Theorem and local control of contact structures on
3-manifolds Abstract:
A contact structure on a 3-manifold M is a 2-plane distribution on M that
is completely non-integrable, i.e. there is no
embedded 2-manifold F in M whose tangent space agrees with the
distribution. In other words, a contact structure is very twisted, even
locally. We will begin with an introduction to contact structures on
3-manifolds and move into a discussion of one of the most useful tools in
this area: Moser's method. Gray's Theorem is an excellent example of the
power of Moser's method. If time permits, I will give some indication as to
how this method can be used to prove theorems about local neighborhoods of
points and nicely embedded knots. This
talk is the first hour in a series of lectures and is intended to satisfy
my major oral requirement. During the week of Jan 8-12, I will be giving a
series of talks on low-dimensional topology. They will concern contact
structures on 3-manifolds. The talks will be from 2-4pm on each day of that
week in room 199. The times may change slightly on some days, so please let
me know if you would like to attend and I will keep you informed of any
changes. |
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Monday, January 22, 2007 |
ANALYSIS SEMINAR |
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Time:
4:00-5:00pm Location: Cupples
I, Room 199 |
Speaker:
Professor John McCarthy Department
of Mathematics, Title:
Organizational Meeting |
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Wednesday,
January 24, 2007 |
GRADUATE
SEMINAR |
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Time:
4:00-5:00pm Location: Cupples
I, Room 199 |
Speaker:
Professor Gary Jensen Department
of Mathematics, Title: Clifford algebras and Isoparametric hypersurfaces Abstract:
A hypersurface of the n-dimensional sphere is
called isoparametric if its principal curvatures are
all constant. In 1981 Ferus, Karcher,
and Muenzner showed how to use an orthogonal
representation of a Clifford algebra to construct
an isoparametric hypersurface
with four distinct prinicipal curvatures. This
FKM construction produces a doubly infinite sequence of distinct such hypersurfaces, and accounts for all but two of the
known examples. This talk will be an introduction to these concepts and a
description of the FKM construction. |
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Friday,
January 26, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Mr. Ruibin Xi Department of Mathematics Title:
Aggregated
logistic regression in data cubes Abstract:
A data cube (Gray et al., 1997) is a multi-dimensional array structure
defined based on some features in a multi-dimensional database. We consider
the problem of performing logistic regression in any cells of a data cube
when the original database is too large to store. While lossless
calculation of the ordinary least squares estimates (OLS) can be achieved
in linear regression analysis (Chen et al., 2006), such lossless
calculations are usually not achievable for more general regression
analyses. I will consider logistic regression analysis and propose to
approximate the maximum likelihood estimates by aggregate first-order
approximations of the estimating equations. Then only derivatives of the
estimating equations need to be saved but not the original data. The
aggregated estimator is shown to be strongly consistent and a large
deviation result is also provided. This idea can easily generalize to all
estimating equation estimators. Simulation studies also
suggests its computational advantages, which supports its
alternative usage to non-data-cube context to gain computational time by
partitioning the raw huge dataset into many smaller subsets followed by our
aggregation method. |
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Monday,
January 29, 2007 |
ALGEBRAIC GEOMETRY
SEMINAR |
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Time:
2:00-3:00pm Location: Eads
Hall, Room 215 |
Speaker:
Professor Ualbai Umirbaev Department
of Mathematics, Title: Generators and defining relations for automorphism groups of polynomial and free algebras. Abstract: It is well-known that the automorphisms
of polynomial algebras (Jung, 1942; van der Kulk, 1953) and free associative algebras (Makar-Limanov, 1970; Czerniakiewicz,
1971-1972) in two variables are tame. This talk concerns the last results
in this area: 1)
The well-known Nagata automorphism of the
polynomial algebra in three variables is wild, that is, it can not be
decomposed into a product of elementary automorphisms
(Shestakov, Umirbaev); 2)
Defining relations of the tame integral 3) The
well-known Anick automorphism
of the free associative algebra in three variables is wild (Umirbaev). |
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Wednesday,
January 31, 2007 |
GRADUATE SEMINAR |
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Time:
4:00-5:00pm Location: Cupples
I, Room 199 |
Speaker: Professor
M. Victor Wickerhauser Department of Mathematics, Title: Translation
invariant discrete wavelet transforms Abstract:
At a cost of O(log N) extra space and time per
coefficient in the N-dimensional case, the invertible discrete wavelet
transform can be made translation invariant. We will examine several
implementations of this idea and discuss their applications, advantages and
disadvantages. |
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FEBRUARY 2007 |
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Friday,
February 2, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Dr. Anton Westveld Department of Political Science Title:
Statistical Methodology
for Longitudinal Social Network Data |
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Monday,
February 5, 2007 |
ANALYSIS SEMINAR |
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Time:
4:00-5:00pm Location: Cupples
I, Room 199 |
Speaker: Professor
John McCarthy Department of Mathematics, Title:
How not to prove the Kadison-Singer conjecture |
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Thursday,
February 8, 2007 |
1ST ANNUAL I.I. HIRSCHMAN LECTURE SERIES |
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Time:
Tea:
4:00-4:30pm
Prof. Guido Weiss |
Speaker:
Professor Richard Askey Department of Mathematics, University of
Wisconsin-Madison Title: What I learned at Abstract:
As a senior at |
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Friday,
February 9, 2007 |
COLLOQUIUM |
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Time:
Tea:
3:00-3:30pm
Prof. Guido Weiss |
Speaker:
Professor Richard Askey Department of Mathematics, University of
Wisconsin-Madison Title: Mathematical
content knowledge of teachers, a view from the past and present Abstract:
In his Presidential Address to the American Education Research Association
about twenty years ago, Lee Shulman spoke about
knowledge of teachers. He
started with content, calling it the forgotten part of education, and
illustrated what was expected in the last quarter of the nineteenth century
with some questions asked in |
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Friday,
February 9, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Mr. Department of Mathematics Title:
TBA |
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Thursday,
February 15, 2007 |
COLLOQUIUM |
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Time:
Tea: 4:00-4:30pm
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Speaker:
Professor Ilijas Farah Department of Mathematics and Statistics, Title: Rigidity
conjectures Abstract:
Consider the Boolean algebra P(N) of all sets of
natural numbers. If for two ideals of this Boolean algebra there is a
permutation of N that sends one ideal to the other, then their quotient
algebras are isomorphic. The unrestricted version of the converse is false
if, for example, the ideals are allowed to be maximal. For ideals that are Borel in the Cantor-set topology of P(N)
consider a strong version of the converse: Every isomorphism has a lifting
that is an automorphism of P(N). I have
conjectured the following: (1)
This is true if the isomorphism has a Borel-measurable
representation. (2)
Under a specific additional set-theoretic assumption, every isomorphism has
a Borel-measurable representation. These
two conjectures have been confirmed for virtually all Borel
P-ideals occurring in the literature. Techniques
developed in this context are relevant to lifting questions for algebraic
structures of comparable size and complexity. I'll concentrate on the Calkin algebra, the quotient of B(H),
the C*-algebra of bounded linear operators on a separable
infinite-dimensional Hilbert space H, by the ideal K(H) of compact
operators. |
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Friday,
February 16, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Ms. Department of Mathematics Title:
TBA |
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Thursday,
February 22, 2007 |
1ST ANNUAL TAIBLESON LECTURE SERIES |
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Time:
Tea:
4:00-4:30pm
Prof. Guido Weiss |
Speaker:
Professor Hrvoje
Šikić Department of Mathematics, Title:
Besov spaces
on domains and Brownian motion Abstract:
Besov spaces form a large class of function spaces
and they can be developed on the entire Euclidean space as well as on
sub-domains. The development of Besov spaces started in 1959 and it took
almost twenty years to include the full range of parameters. An important
step was provided in 1964 by M.H.Taibleson, who applied the
Hardy-Littlewood method to characterize Besov spaces on Euclidean spaces
via the Poisson kernel and the Gauss-Weierstrass kernel. The research on Besov spaces on domains proved to be
very challenging, as well, and it is active even today. From recent results
on the potential theory of Brownian motion we were inspired to attempt the
characterization of a large class of Besov spaces on domains via the kernel
of the Brownian motion killed upon exiting the domain. Although we
essentially revisited the original Taibleson's method, the proof ended up
being demanding with several technical obstacles that do not appear in the
original case. This is a joint work with M.H.Taibleson. |
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Friday,
February 23, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Professor Ed Spitznagel Department of Mathematics Title:
TBA |
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MARCH 2007 |
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Thursday,
March 1, 2007 |
COLLOQUIUM |
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Time:
Tea:
4:00-4:30pm |
Speaker:
Professor Pete Casazza Department of Mathematics, Title: The Kadison-Singer Problem in Mathematics and Engineering Abstract:
We will see that the famous intractable 1959 Kadison-Singer
Problem in C*-algebras is equivalent to fundamental unsolved problems in a
dozen areas of research. We will look at the interesting interconnections
this problem presents for pure mathematics, applied mathematics and
engineering. We will also see that there are equivalents of the KS problem
that any first year graduate student can work on. |
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Friday,
March 2, 2007 |
WAVELET SEMINAR |
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Time:
3:00-4:30pm |
Speaker:
Professor Pete Casazza Department of Mathematics, Title: The Cocktail
Party Problem Abstract: The cocktail party problem asks: We
have a tape recording of a group of people talking at a cocktail
party. Can we separate out each
individual voice with all of its voice characteristics? Although
the cocktail party problem is a problem in engineering, it presents a wide
variety of interesting mathematical questions. We will look at some of the
mathematics surrounding the problem and some recent advances on the
problem. |
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Friday,
March 2, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Ms. Xiao Huang Department of Mathematics Title:
TBA |
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Thursday,
March 8, 2007 |
COLLOQUIUM |
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Time:
Tea:
4:00-4:30pm |
Speaker:
Professor Louis Billera Department of Mathematics, Title:
TBA |
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Friday,
March 23, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Professor Carol Woods Department of Psychology Title:
TBA |
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Tuesday,
March 27, 2007 |
4th ANNUAL LOEB UNDERGRADUATE LECTURE IN MATHEMATICS |
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Time:
Tea:
4:00-4:30pm |
Speaker:
Professor Karen E. Smith Department of Mathematics, |
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Thursday,
March 29, 2007 |
COLLOQUIUM |
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Time:
Tea:
4:00-4:30pm |
Speaker:
Professor Fred Xavier Department of Mathematics, Title: TBA |
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Friday,
March 30, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Professor Chengjie Xiong Division of Biostatistics Title:
TBA |
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APRIL 2007 |
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Thursday, April 5, 2007 |
COLLOQUIUM |
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Time:
Tea:
4:00-4:30pm |
Speaker:
Professor Francois Ledrappier Department of Mathematics, University of Notre Dame Title: TBA |
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Friday,
April 6, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Ms. Amei Department of Mathematics Title:
TBA |
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Thursday,
April 12, 2007 |
COLLOQUIUM |
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Time:
Tea:
4:00-4:30pm |
Speaker: Professor Loredana Lanzani Department of Mathematics University of
Arkansas Title: TBA |
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Friday,
April 13, 2007 |
COLLOQUIUM |
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Time:
Tea:
4:00-4:30pm |
Speaker: Professor
Luca Capogna Department of Mathematics University of
Arkansas Title: TBA |
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Friday,
April 13, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Dr. Adam Hafdahl Department of Mathematics Title: TBA |
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Friday,
April 20, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Mr. Department of Mathematics Title:
TBA |
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Friday,
April 27, 2007 |
STATISTICS SEMINAR |
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Time:
4:30-5:30pm Location: Cupples
I, Room 199 |
Speaker:
Professor Jimin Ding Department of Mathematics Title:
TBA |
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MAY 2007 |
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Friday, May 11, 2007 |
COLLOQUIUM |
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Speaker:
Sir Michael Atiyah Department of Mathematics, University of Edinburgh, Scotland Title: The role of Quaternions in Algebra, Geometry and Physics Abstract:
2006 was the bicentenary of the birth of William Rown
Hamilton. He made contributions to optics and dynamics which proved
fundamental for quantum theory but he himself believed that his greatest
achievement was the discovery of quaternions.
This is not widely accepted, but I want to argue Hamilton's case by showing
how quaternions have influenced large and
important parts of mathematics and physics. |
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Tea: 4:30pm |
MATH TALK |
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Talk: 5:00pm |
Speaker:
Sir Michael Atiyah Department of Mathematics, University of Edinburgh, Scotland Title: Beauty
and Truth in Mathematics Abstract: Truth
in mathematics is closely related to the familiar notion of proof, which
distinguishes mathematics from science. Beauty however is more subtle and
not usually associated with an outwardly austere subject like
mathematics. I want to explain
what mathematicians mean by beauty and why it is so important to them. I
will also examine its relation to truth |
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Last Updated 11/24/2010