University of Georgia
Department of Mathematics

Seminar Schedule
March 1 - 5, 2004

All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.

MONDAY, March 1, 2004

VIGRE - Algebra
2:30p.m., Room 410
Speaker: Markus Hunziker, University of Georgia
Title of talk: Weyl's Character Formula

Topology
2:30p.m., Room 322
Speaker: Olga Plamenevskaya, Harvard University
Title of talk: Ozsvath-Szabo Invariants and contact structures
Abstract: Ozsvath and Szabo introduced a Floer homology theory for $3$-manifolds, which includes invariants of knots as well as invariants of contact structures. I will discuss some examples and applications of these invariants in contact topology.

Faculty and Graduate Social
3:00p.m., Room 409
Coffee, Tea, Cookies

Lie Theory
3:30p.m., Room 303
No Meeting this week

Stochastic Processes
3:30p.m., Room 410
Speaker: Dan Kannan, University of Georgia
Title of talk: Diffusion Processes

TUESDAY, March 2, 2004

VIGRE Graduate Student Seminar
2:00p.m., Room 304
Speaker: Matthew Baker, University of Georgia
Title of talk: Analysis on metric graphs

Special Seminar in Analysis
2:00-4:00p.m., Room 410
Speaker: Ernie Croot, Georgia Tech
Title of talk: Arithmetic Progressions in Sumsets

Wavelet Analysis
2:00p.m., Room 326
Speaker: Haipeng Liu, University of Georgia
Title of talk: A Constructive Algorithm for Polynomial Matrix Extension

WEDNESDAY, March 3, 2004

Berkovich Spaces Seminar
11:00a.m., Room 410
Organizers: Matthew Baker and Robert Rumely

Algebra
2:30p.m., Room 322
Speaker: Stephen Doty, Loyola University of Chicago
Title of talk: Generators and relations for generalized q-Schur algebras
Abstract: Generalized Schur algebras (formulated by Donkin) are certain finite dimensional algebras associated with truncating the category of representations of an affine algebraic group at a saturated set of dominant weights (i.e. an ideal in the dominant weight poset). They form an important class of examples of quasihereditary algebras. They may be constructed by dualizing a certain coalgebra contained in the Hopf algebra of regular functions on the group, or alternatively as quotients of the universal enveloping algebra of the corresponding Lie algebra.

There are q-analogues of these objects, obtainable as quotients of a quantized enveloping algebra. Since quantized enveloping algebras are defined by generators and relations (deforming Serre's presentation of the classical enveloping algebra) one would like to find a nice set of generators for the kernel of the map from the quantized enveloping algebra, thus obtaining a presentation of the generalized q-Schur algebra which is compatible with that of the quantized enveloping algebra. I'll describe how recent results of Lusztig have been applied to solve this problem.

Algebraic Geometry
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
Speaker: Ming-Jun Lai, University of Georgia
Title of talk: Nonuniform B-spline Curves and Surfaces

Number Theory
3:45p.m., Room 304
Speaker: Michael Beck, University of Georgia
Title of talk: Square dependent sequences

THURSDAY, March 4, 2004

VIGRE - Cardiac Physiology
2:30p.m., Room 304
Speakers: TBA
Activity: TBA

VIGRE - Contact Topology
2:00p.m., Room 410
Organizer: Gordana Matic, University of Georgia

Student Number Theory
3:30p.m., Room 303
Speaker: Rene Shumbusho, University of Georgia
Title of talk: TBA

FRIDAY, March 5, 2004

CATS
1:25-2:15pm, Room 306
Speaker: B. Alexeev, University of Georgia
Title of talk: Minimal DFAs for Testing Divisibility

Electrodynamics Seminar
2:30p.m., Room 322
Speaker: Cal Burgoyne and Robert Varley, University of Georgia
Title of talk: The Maxwell-Dirac System

Geometry
2:30p.m., Room 326
Speaker: TBA
Title of talk: TBA