University of Georgia
Department of Mathematics

Seminar Schedule
March 29 - April 2, 2004

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

MONDAY, March 29, 2004

VIGRE - Algebra
2:30p.m., Room 410
Speaker: Brian Boe, University of Georgia
Title of talk: Hasse diagrams for nilpotent orbits of classical groups in bad characteristic.

Topology
2:30p.m., Room 322
Speaker: David Galewski, University of Georgia
Title of talk: Spines of 3-manifolds
This talk will be accessible to any graduate students interested in 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: Moustapha Pemy, University of Georgia
Title: Stochastic Calculus

TUESDAY, March 30, 2004

VIGRE Graduate Student Seminar
2:00p.m., Room 304
Speaker: Vladimir Gudkov, University of South Carolina
Title of talk: An Approach to Network Analysis via a Continuous Evolution of a Physical Analog
Abstract: A general novel approach mapping discrete, combinatorial, graph-theoretic problems onto ``physical'' models - namely n-simplexes in (n-1)-dimensions - is introduced. It is based on an analogue physical model which is dynamically evolved. This evolution, which is numerically simulated, depends on the connectivity matrix and readily brings out many qualitative features of the graph. It is applied to network classification, the graph equivalence problem and to the NP complete problem of finding the largest clique within a network.

Special Seminar in Analysis
2:00-4:00p.m., 410
Speaker: Michael Lacey, Georgia Tech
Title of talk: Little Hankel Operators & Product BMO
Abstract: I'll review the one complex variable Hankel operators, and describe the recent result of myself, Ferguson, and Terwilleger on little Hankel operators in more complex variables.

The theory of Hankel operators is closely associated with function theory of one complex variable. The function theory of more complex variables is more complicated, largely terra incognito.

Lecture will be elementary, though I don't think that I can present the full proof of H1 --- BMO duality.

Wavelet Analysis
2:00p.m., Room 326
Speaker: Kyungling Nam, University of Georgia
Title of talk: Box spline tight frames for edge detection
Abstract: Construction of box spline tight frames will be shown and then will apply for image edge detection . Many image experiments will be shown.

WEDNESDAY, March 31, 2004

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

Algebra
2:30p.m., Room 410
Speaker: Joe Fu, University of Georgia
Title of talk: The sesquialgebra of unitarily invariant convex valuations

Algebraic Geometry Seminar
2:30p.m., Room 303
Speaker: Valery Alexeev, University of Georgia
Title of talk: Toric degenerations of spherical varieties
Abstract: I will explain how to degenerate an arbitrary (affine or projective) spherical variety to a toric variety using the Kashiwara-Lusztig canonical basis. The limit toric variety is described by string and moment polytopes which I will introduce (Gelfand-Tsetlin polytopes are a special case). Motivated by Mirror symmetry and the work of Givental, Batyrev and others, I will also give conditions for the limit variety to be a Gorenstein Fano; and provide many examples, counterexamples and
conjectures.

This is a joint work with M. Brion and the preprint is available at
http://front.math.ucdavis.edu/math.AG/0403379

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: B-spline curves (reinvented)
Abstract: I will propose another method to define and compute B-spline curves and suggestions for
further study.

Number Theory
3:45p.m., Room 304
Speaker: Milton Nash, University of Georgia
Title of talk: Transcendence, Old and New
Abstract: We will discuss some topics in transcendence theory: problems that historically have been of interest and some techniques used to solve them. In particular, we will discuss how these issues relate to a recent result of mine on the arithmetic nature of the special values of Dirichlet L-functions.

THURSDAY, April 1, 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: TBA
Title of talk: TBA

FRIDAY, April 2, 2004

CATS
1:25-2:15pm, Room 306
Speaker: TBA
Title of talk: TBA

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: TBA
Title of talk: TBA