University of Georgia
Department of Mathematics

Seminar Schedule
October 18 - 22, 2004

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

MONDAY, October 18, 2004

Algebra
2:30-3:30p.m., Room 410
Speaker: Nadia Mazza, University of Georgia
Title of talk: Endotrivial modules for finite groups of Lie type
Abstract: Joint work with Jon Carlson and Dan Nakano
Endotrivial modules were first defined for finite $p$-groups by Dade in the late seventies. These modules are the building blocks of the endopermutation modules that occur as sources for the irreducible modules for finite $p$-solvable groups. Dade described these modules in case $G$ is an abelian $p$-group. But finding a complete classification of end otrivial modules for all finite $p$-groups was a much harder task, and this question has been solved very recently by Jon Carlson and Thevenaz.

In this talk, we are going to define endotrivial modules for arbitrary finite groups and consider the particular case of the defining characteristic for all finite groups of Lie type.

Probability Theory
2:45-4:00pm, Room 302
Speaker: M. Pemy, University of Georgia
Title of talk: American option: uniqueness solution

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

VIGRE Algebraic Geometry Group
3:30-4:30 p.m., Room 304

Topology
3:30-4:30pm, Room 326
Speaker: Ken Baker and Gordana Matic, University of Georgia
Title of talk: Osvath-Szabo Invariants (cont.)

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


TUESDAY, October 19, 2004

VIGRE Graduate Student Seminar
2:00p.m., Room 304
Speaker: TBA
Title of talk: TBA

Dynamics on Berkovich Space
3:30-5:30p.m., Room 326
No Meeting this week

Analysis Seminar
3:30p.m., Room 304
Speaker: Peter Semrl, University of Ljubljana
Title of talk: Maps on idempotents
Abstract: Some recent results concerning maps on the set of idempotent operators or matrices preserving order or orthogonality will be presented. We will point out some connections with physics, geometry, and linear preserver problems.


WEDNESDAY, October 20, 2004

Algebraic Geometry
2:30-3:45 p.m., Room 410
Speaker: Masayuki Kawakita, IAS Princeton
Title of talk: Three-fold divisorial contractions
Abstract: The minimal model program has been formulated to find out a good representative of each birational class of algebraic varieties. For a given variety, it produces a good variety after a finite sequence of transformations called divisorial contractions and flips. Since Mori completed this program in dimension three by proving the existence of three-fold flips, the explicit study of three-folds has become desirable. While three-fold flips were investigated in detail in the course of the proof of Mori and in the subsequent collaborative work with Koll\'ar, divisorial contractions had not been studied satisfactorily. This is due to the fact that the question as to whether the minimal model program works does not involve the explicit features of divisorial contractions. However, these features have turned out to be indispensable with the progress of the explicit study of three-folds. I will explain my study of three-fold divisorial contractions which responds to this demand.

VIGRE – Cardiac Physiology
2:30p.m., Room 323

VIGRE – Clifford Algebras
2:30p.m., Room 322

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

Number Theory
3:45-5:15pm, Room 304
No meeting this week

THURSDAY, October 21, 2004

VIGRE - Rational points on curves
2:00p.m., Room 304


FRIDAY, October 22, 2004

Student Arithmetic/Algebraic Geometry Seminar
12:20p.m., Room 326
Speaker: TBA
Title of talk: TBA

VIGRE-Algebra
2:30p.m., Room 410
Speaker: Daniel Nakano, University of Georgia
Title of talk: Support varieties for symmetric groups II

Spline Analysis
2:30-3:30p.m., Room 303
Speaker: TBA
Title of talk: TBA

Geometry
2:30 p.m., Room 326
Speaker: Malcolm Adams, University of Georgia
Title of talk: Completely integrable hamiltonian systems, action - angle variables, and the spherical pendulum.

Wavelet Analysis
3:30-4:30 p.m., Room 303
Speaker: TBA
Title of talk: TBA