University of Georgia
Department of Mathematics
Seminar Schedule
April 26 - April 30, 2004
All Seminars are held in Boyd Graduate Studies Bldg. unless
otherwise noted.
VIGRE - Algebra
2:30p.m., Room 410
Organizer: Daniel Nakano, University of Georgia
Activity: We will look at other cases of exceptional Lie algebra
involving our conjecture (i.e. G_2 p=3 and possibly F_4). We will also report
on the status of some type D (p=2) calculations.
Topology
2:30p.m., Room 322
Speaker: Will Kazez, University of Georgia
Title of talk: "Right veering homeomorphisms of surfaces"
Abstract: I will discuss some relationships between
open book decompositions, homeomorphisms of surfaces, and the class of homeomorphisms
mentioned in the title.
Faculty and Graduate Social
3:00p.m., Room 409
Coffee, Cookies, Tea
Special Geometry Seminar
3:30p.m., Room 322
Speaker: David Bao, University of Houston
Title of talk: Curvature in Finsler geometry
Abstract: This talk has three goals. First, I would like to
illustrate the ubiquitous nature of Finsler metrics. Second, the notion of flag
curvature will be explained and contrasted with the sectional curvature of Riemannian
metrics. Finally, the Ricci curvature will be defined, together with a discussion
of Einstein-Finsler metrics.
Lie Theory
3:30p.m., Room 303
No Meeting this week
Stochastic Processes
3:30p.m., Room 410
Speaker: Billy Jackson, University of Georgia
Title of talk: Stability of SDEs
Abstract: We will consider some perturbations of SDEs by using the
usual techniques of stability analysis.
Special Double VIGRE Graduate Student Seminar
2:00p.m., Room 304
Speaker: Vladimir Temlyakov, University of Georgia
Title of talk: On mathematical foundations of numerical integration
Abstract: The main goal of this talk is to demonstrate connections
between the following three big areas of research: the theory of cubature formulas
(numerical integration), discrepancy theory, and nonlinear approximation. We
will discuss a relation between results on cubature formulas and on discrepancy.
In particular, we will show how the standard in the theory of cubature formulas
settings can be translated into the discrepancy problem and into a natural generalization
of the discrepancy problem. This leads to a concept of r-discrepancy. We will
present results on a relation between the construction of an optimal cubature
formula with m knots for a given function class and the best nonlinear m-term
approximation of a special function determined by the function class. The nonlinear
m-term approximation is taken with regard to a redundant dictionary also determined
by the function class. We will also discuss some known results on lower and
upper estimates of errors of optimal cubature formulas for special classes of
functions. We will formulate some open problems in the area.
3:15p.m., Room 303
Speakers: Tanya Cofer and Pat Wilson, University of Georgia,
Math Education
Title of talk: The Graduate Certificate in Mathematics
Education
Special Seminar in Analysis
2:00-4:00p.m., Ga Tech, Rm. 255
Speaker: TBA
Title of talk: TBA
Wavelet Analysis
2:00p.m., Room 326
Speaker: O. Cho, University of Georgia
Title of talk: Construction of Prewavelets in Sobolev spaces
Berkovich Spaces Seminar
11:00a.m., Room 410
Organizers: Matthew Baker and Robert Rumely
Algebra
2:30p.m., Room 410
Speaker: Radu Stancu, Ohio-State University
Title of talk: Control of the Fusion in Fusion Systems
Abstract: The fusion systems are a generalization of the $p$-local
structure of a finite group $G$, where $p$ is a prime dividing the order of
the group $G$. They were introduced by Puig in 1990. In 2000 Broto, Levi and
Oliver identified and studied a certain class of spaces which in many ways behave
like $p$-completed classifying spaces of finite groups. They showed that
these spaces occur as the ``classifying spaces" of fusion systems. Usingthis
approach they proved the conjecture of Mislin that the homotopy type of the
$p$-completed classifying space of a finite group is determined by its $p$-local
structure. A fusion system is a category on a finite $p$-group $P$, whose objects
are the subgroups of $P$ and whose set morphisms between any two objects $Q$,
$R$ are a set of injective group homomorphisms between $Q$ and $R$, satisfying
some axioms. The purpose of this talk is to give some results on the control
of the fusion in a fusion system on $P$ by the automorphisms in the fusion system
of a subgroup $Q$ of $P$.
Algebraic Geometry Seminar
2:30p.m., Room 303
Speaker: TBA
Title of talk: TBA
Faculty and Graduate Social
3:00p.m., Room 409
Coffee, Cookies, Tea
Numerical Analysis
3:30p.m., Room 303
No Meeting this week
Number Theory
*Please note time and room change
2:30 - 3:30 PM Room 222
Speaker: Skip Garibaldi, Emory University
Title of talk: The Rost invariant and the Hasse principle
Abstract: Several classical local-global results for number
fields (Hasse-Minkowski Theorem, Eichler's Norm Theorem) are
special casses of the Hasse principle for simply connected linear algebraic
groups (like SL_n and Spin) over number fields. In the late 1990s, the Hasse
principle was shown to hold for a many more fields than just number fields.
This talk will present the Rost invariant, which can be viewed as a further
generalization of the Hasse principle.
VIGRE - Cardiac Physiology
2:30p.m., Room 322
Speaker: TBA
Title of talk: TBA
VIGRE - Contact Topology
2:00p.m., Room 410
Organizer: Gordana Matic, University of Georgia
Faculty and Graduate Social
3:00p.m., Rom 409
Coffee, Cookies, Tea
Colloquium
3:30p.m., Room 304
Speaker: Prof. Steve Xu , University of Tennessee at Chattanooga
Title of talk: Evolutional properties and characteristic patterns
of a mathematical model of breast cancer
Abstract: Ductal carcinoma in situ (DCIS) refers to a specific diagnosis
of cancer that is isolated within the breast duct, and has not spread to other
parts of the breast. In this talk we discuss a free boundary problem model in
a cylinder, a model mimicking the growth of a ductal carcinoma in situ (DCIS).
As tumour growth strongly depends upon the availability of nutrients, its diffusion
through the growth material is introduced in the description of model. We study
the characteristic stationary solutions of the model, and compare them with
the patterns found in DCIS. We also study the evolution solution and the growth
of the DCIS.
Student Number Theory
3:30p.m., Room 303
Speaker: Eric Pine, University of Georgia
Title of talk: Visual Cryptography
Abstract: Everyone has heard of the RSA crypto system.
Well, the "S" from RSA, Adi Shamir, has developed a new type of cryptography.
This system has the advantage that anyone with two hands and eyes (and the key
of course) will be able to decrypt the message. No modular arithmetic. No fancy
computers needed. This talk will be very easy to understand, and
yet should also provide ideas to interest people both with and without a math
background.
CATS
1:25-2:15pm, Room 306
Speaker: TBA
Title of talk: TBA
Faculty and Graduate Social
*Please note change in time
2:00p.m., Rom 409
Coffee, Cookies, Tea
Electrodynamics Seminar
2:30p.m., Room 322
Speaker: Mukul Patel, University of Georgia
Title of talk: The path integral method of quantization
Geometry
2:30p.m., Room 326
Speaker: Jason Cantarella, University of Georgia
Title of talk: Animation, asteroids and tumbling bodies.
Abstract: In this talk, aimed at a student audience, we'll
discuss the classical "asteroid problem": how does a body rotate or
spin in the absence of annoying external forces such as gravity? We'll pay particular
attention
to the problem of visualizing these motions with computer animation.
Lie Theory
2:30p.m., Room 304
Speaker: Radha Kessar, The University of Ohio
Title of talk: Shintani descent and perfect isometries for blocks
of finite general linear groups.
Abstract: Shintani descent gives a correspondence between the
set of ordinary irreducible characters of a finite general linear group GL(n,q)
and a certain subset of irreducible characters of GL_n(q^d). Building on results
of Watanabe, we show that under some natural conditions, this correspondence
yields perfect isometries between the unipotent blocks (in cross characteristic)
of the two groups. This provides another instance of the generic nature of the
modular representation
theory of finite groups of Lie type.
Colloquium
3:30p.m., Room 304
Speaker:Markus Linckelmann, The Ohio State University
Title of talk: Modular representation theory and topology:
some interactions
Abstract: Classical cohomology theories, such as Hochschild
cohomology of the group algebra of a finite group G on the representation theoretic
side, and G-equivariant Bredon cohomology on the topological side, can be viewed
as particular cases of a common construction. Applications include a reformulation,
in terms of Bredon cohomology, of Alperin's weight conjecture, one of the most
prominent open conjectures in modular representation theory which is originally
a numerical conjecture on the number of simple modules of a group algebra kG
over a field of positive characteristic p in terms of the p-local structure
of G.