University of Georgia
Department of Mathematics

Seminar Schedule
December 6 –December 10, 2004

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

MONDAY, December 6, 2004

Algebra
2:30-3:30p.m., Room 410
Speaker: Eric Friedlander, Northwestern University
Title of talk: TBA

Probability Theory
2:45-4:00pm, Room 302
Speaker: M. Pemy, University of Georgia
Title of talk: Numerical Demonstration of Options Pricing.

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: TBA
Title of talk: TBA

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

TUESDAY, December 7, 2004

Student Arithmetic/Algebraic Geometry Seminar
12:20p.m., Room 410
Speaker: Sungkon Chang, University of Georgia
Title of talk: Arc spaces and motivic integration
Abstract: This is a tool in birational geometry, which was applied in few areas, such as Calabi - Yau's, log geometry, McKay correspondence, and has strong connections with p-adic integration and zeta functions. It is influenced by the "motivic ideology" of Grothendieck and is developping actively. I will give a down-to-earth introduction and will mention some of the most impressive achievements.

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

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

Colloquium
3:30p.m., Room 304
Speaker: Eric Friedlander, Northwestern University
Title: Algebraic Vector Bundles and Algebraic Cycles
Abstract: This lecture will present a "semi-topological world" introduced by Mark Walker and myself which is intermediate between algebraic geometry and algebraic topology. The objects of our study are complex (and real) algebraic varieties; the invariants we investigate are algebraic vector bundles and algebraic cycles on these varieties. Our starting point is Grothendieck's famous Riemann-Roch Theorem, where connections between vector bundles and cycles play an essential role; the work of Quillen, Suslin, Voevodsky and others further strengthened these connections. Our goal is to explore the interplay between vector bundles and cycles in the algebraic, topological, and semi-topological contexts.

Dynamics on Berkovich Space
4:30-5:30p.m., Room 326
Speaker: TBA
Title of talk: TBA

WEDNESDAY, December 8, 2004

Algebraic Geometry
2:30-3:45 p.m., Room 410
Speaker: TBA
Title of talk: TBA

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
Speaker: TBA
Title of talk: TBA
Abstract: TBA

THURSDAY, December 9, 2004

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

FRIDAY, December 10, 2004

Geometry
12:30p.m., Room 323
Speaker: Alex Kasman, College of Charleston
Title: KP Generators and the Geometry of the Hirota Bilinear Difference Equation
Abstract: The KP hierarchy is an infinite collection of nonlinear PDEs with applications in mathematical physics. Sato's theorem associates solutions of the KP hierarchy to flows on a Grassmann manifold. To make that amazing theorem clear to non-experts, I will first show an analogous (but easily understood) example of a linear ODE and its solution from a flow on the xy-plane. In each case the flow is generated by a certain linear operator, but we can ask ``What other generators could have been used to generate solutions in the same way?'' Although the answer is well known in the ODE case, the question in the nonlinear case is the main result my new paper with Michael Gekhtman. I will state our result and discuss its significance, especially focusing on its relationship to the "rank one conditions" that often appear in the context of integrable systems. The proof will also be sketched and involves a geometric interpretation of the Hirota Bilinear Difference Equation (HBDE) as a statement about linear maps between Grassmann cones.

VIGRE – Algebra
2:30p.m., Room 410
Speaker: TBA
Title of talk: TBA

Spline Analysis
2:30p.m., Room 303
No Meeting

Wavelet Analysis
3:30p.m., Room 303
No Meeting