University of Georgia
Department of Mathematics

Seminar Schedule
September 8, - September 12, 2003

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

MONDAY, September 8, 2003

Numerical Analysis
1:30p.m., Room 524
Speaker: Ming-Jun Lai, University of Georgia
Title of talk: A phase field model for the mixture of two imcompressible fluids, continued

Geometry
1:30p.m., Room 410
Speaker: Malcolm Adams, University of Georgia
Title of talk: An Introduction to Integrable Hamiltonian Systems
Abstract: I will give a brief introduction to the notions of integrable Hamiltonian systems and action - angle variables. If time allows I will discuss the issue of the existence of global action - angle variables. Some of these results will be demonstrated by the example of the spherical pendulum. Although some familiarity with basic differential geometric
tools will be assumed, this is meant to be an introductory talk for graduate students.

Topology
2:30p.m., Room 323
No Meeting this week

VIGRE - Algebra Seminar
2:30p.m., Room 410
Speaker: Daniel Nakano, University of Georgia
Title of talk: Decomposition of orbits for simple Lie algebras

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

Lie Theory
3:30p.m., Room 303
Talk postponed until September 22, 2003
Speaker: Daniel Nakano, University of Georgia
Title of talk: How to determine the representation type for algebras

TUESDAY, September 9, 2003

VIGRE Graduate Student Seminar
2:00-3:15pm, Room 304
Speaker: Valerie Cormani, University of Georgia
Title of talk: Triangulations of polygons
Abstract: How do you triangulate a point set in R^n? How many triangulations of a given point set are possible? I will introduce some basic ideas concerning triangulations and illustrate them by considering the vertices of a convex polygon in R^2.

Analysis
3:30pm, Room 326
Speaker: TBA
Title of talk: TBA

WEDNESDAY, September 10, 2003

Group Representation & Cohomology
2:30p.m., Room 410
Speaker: Dave Benson, University of Georgia
Title: Stable and derived categories of kG-modules, continued

Algebraic Geometry
2:30pm, Room 303
No Meeting this week

Faculty and Graduate Social
3:00pm, Room 409
Coffee, Cookies, Tea

Number Theory/Arithmetic Geometry
3:30pm, Room 304
Speaker: Dino Lorenzini, University of Georgia
Title : Brauer groups and Tate-Shafarevich groups
Abstract: I'll try to give the definitions and some insight on why these objects, conjectured to be finite abelian groups in many instances, play such an important role in modern arithmetic geometry

THURSDAY, September 11, 2003

Student Number Theory
3:30p.m., Room 304
Speaker: Charles Pooh, University of Georgia
Title of talk: Irrational numbers: From square root of 2 to Zeta(3)
Abstract: We will discuss various methods of proving the irrationality of numbers.

VIGRE Quantum Mechanics Seminar
2:00p.m., Room 303
Speaker: Jerry Hower and Robert Varley, University of Georgia
Title of talk: Some foundations for the study of the energy operator

VIGRE - Contact Topology
2:00p.m., Room 326
Speaker: TBA
Title of talk: TBA

FRIDAY, September 12, 2003

Wavelet Analysis
2:30p.m., Room 524
Speaker: Ming-Jun Lai, University of Georgia
Title of talk: Box Spline Theory for Wavelet Analysis, continued

CATS
1:25p.m., Room 306
Speaker: Aaron Windsor, University of Georgia, Dept. of Computer Science
Title of talk: Finding a Maximal Acyclic Set in Parallel
Abstract: Given a graph G, an acyclic set A in G is a subset of V(G) such that the induced graph on A is acyclic. Furthermore, A is a maximal acyclic set if it isn't properly contained in any other acyclic set. There's a simple greedy sequential algorithm for finding a maximal acyclic set in a graph, but the same approach doesn't work in a parallel setting, where the goal is to get all of the computation done in poly-logarithmic time on a polynomial number of processors.

We'll present a new parallel algorithm for this problem and mention some applications to parallelizing approximation algorithms for the maximum planar subgraph problem and the weighted minimum feedback vertex set problem, as time
permits.