University of Georgia
Department of Mathematics

Seminar Schedule
November 15 – November 19, 2004

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

MONDAY, November 15, 2004

Algebra
2:30-3:30p.m., Room 410
Speaker: Semra Kaptanoglu, METU (visiting University of Virginia)
Title of talk: On modular representations of abelian p-groups of small rank.

Probability Theory
2:45-4:00pm, Room 302
No meeting this week

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 invariants (cont.)

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

TUESDAY, November 16, 2004

VIGRE Graduate Student Seminar
2:00p.m., Room 304
Speaker: Jingzhi Tie, University of Georgia
Title of talk: Lewy's operator and its connection with the Heisenberg group and complex analysis
Abstract: Lewy's operator is a linear partial differential operator with smooth coefficients and without any solution in any sense. I will introduce the operator and give a necessary and sufficient condition under which the Lewy's operator is solvable.

Dynamics on Berkovich Space
3:30-5:30p.m., Room 326
Speaker: Robert Rumely, University of Georgia
Title of talk: Structure of the Domain of Quasi-periodicity.

WEDNESDAY, November 17, 2004

Algebraic Geometry
2:30-3:45 p.m., Room 410
Speaker: Mitch Rothstein, University of Georgia
Title of talk: Introduction to the Fourier-Mukai transform

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: Akos Magyar, University of Georgia
Title of talk: Some results and problems on the border of analysis and number theory.
Abstract: We illustrate how a classical tool of number theory, the so-called circle-method, combined with techniques of harmonic analysis, can be used to obtain results in analysis, combinatorics, and ergodic theory. We will also discuss related open problems.

THURSDAY, November 18, 2004

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

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

Colloquium
3:30p.m., Room 304
Speaker: Prof. Hanfeng Li, University of Toronto and Fields Institute
Title of talk: Introduction to noncommutative metric geometry
Abstract: The Gromov-Hausdorff distance between compact metric spaces has proved to be an important tool in Riemannian geometry. Marc Rieffel introduced metrics on compact noncommutative spaces and Gromov-Hausdorff distance between compact noncommutative metric spaces.

I will discuss how to redefine the Gromov-Hausdorff distance at the function level, in the spirit of noncommutative geometry. This enables us to take care of additional algebraic structures such as multiplication and compact quantum group symmetries easily. It also helps us to show the continuity of specific families of compact noncommutative metric spaces with respect to the Gromov-Hausdorff distances. Various examples will be given.

FRIDAY, November 19, 2004

Student Arithmetic/Algebraic Geometry Seminar
12:20p.m., Room 326
Speaker: Charles Pooh, University of Georgia
Title of talk: Lehmer's Problem
Abstract: I will present the following result of Langevin: Let V be an open set containing a complex number with |u|=1 and let x be an algebraic number of degree d, which is not a root of unity, with no conjugate in V; then M(x) > (C(V))^d, where C(V) > 1 and M(x) is the Mahler's measure of x.

Geometry
2:30p.m., Room 323
Speaker: Jason Cantarella, U. of Georgia
Title of talk: Symmetries and Integrals of Motion in Optimal Control, part II
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: TBA
Title of talk: TBA

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