University of Georgia
Department of Mathematics

Seminar Schedule
November 8 – November 12, 2004

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

MONDAY, November 8, 2004

Algebra
2:30-3:30p.m., Room 410
No meeting this week

Probability Theory
2:45-4:00pm, Room 302
Speaker: Q. Zhang, University of Georgia
Title of talk: Perpetual American Put with Regime Switching

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: Gordana Matic, University of Georgia
Title of talk: Ozsvath-Szabo invartiants (cont.)

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

TUESDAY, November 9, 2004

VIGRE Graduate Student Seminar
2:00p.m., Room 304
No meeting this week

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

WEDNESDAY, November 10, 2004

Algebraic Geometry
2:30-3:45 p.m., Room 410
Speaker: Elham Izadi, University of Georgia
Title of talk: An algebraic geometry result from Physics (after Paul Aspinwall)
Abstract: I will present a theorem of Aspinwall and others which allows one to recover a Calabi-Yau threefold from a Del Pezzo surface embedded in it. This uses a description of the derived category of sheaves on the Del Pezzo in terms of quiver representations which is part of the topic of the algebraic geometry VIGRE group this year. The talk will be as
elementary as possible.

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: Sunkong Chang, University of Georgia
Title of talk: On the arithmetic of Twists of the Jacobian varieties of the curves $y^\ell=f(x)$.
Abstract: I shall introduce Ed Schaefer's way to do a CM-descent on the Jacobian variety of the normalization of the curve $y^\ell=f(x)$, and apply it for computing certain Selmer groups of the twists of the Jacobian varieties. It has applications on counting the number of rational solutions on $y^\ell=f(x)$.

THURSDAY, November 11, 2004

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

FRIDAY, November 12, 2004

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

Geometry
2:30p.m., Room 323
Speaker: Jason Cantarella, U. of Georgia
Title of talk: Symmetries and Integrals of Motion in Optimal Control.
Abstract: Noether's theorem, relating the symmetries of a dynamical system to conserved quantities or "integrals of motion" for the system is one of the cornerstones of classical mechanics. In this talk, I'll discuss some results of Hector Sussmann on the application of these ideas to control theory-- in particular to the problem of finding shortest paths of bounded curvature. The results should be of particular interest to those of us studying kinks in ropelength-minimizing knots.

VIGRE – Algebra
2:30p.m., Room 410
Speaker: Dave Benson, University of Georgia
Title of talk: Computing varieties of Specht modules and simple modules, continued

Spline Analysis
2:30p.m., Room 303
Speaker: Taytana Sorokina, University of Georgia
Title of talk: Construction of 3D macro-elements, (cont.)

Wavelet Analysis
3:30p.m., Room 303
Speaker: O. Cho, University of Georgia
Title of talk: Construction of Orthonormal Spline Wavelets, (cont.)