University of Georgia
Department of Mathematics

Seminar Schedule
September 1, - September 5, 2003

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

MONDAY, September 1, 2003

University Holiday - No seminars scheduled

TUESDAY, September 2, 2003

VIGRE Graduate Student Seminar
2:00-3:15pm, Room 304
Speaker: William Jackson, University of Georgia
Title of talk: Setting Optimal Price Limits in Futures Markets
Abstract: In this talk, I will discuss some of the results that the group I was a part of at the Industrial Mathematics Modeling Workshop at NC State obatined. Our group's problem was to determine the optimal price limit in a given futures market. I will briefly discuss the necessary mathematical finance and stochastic processes involved, and I will then proceed to state the group's problem succinctly and explain the constraints governing the optimization problem. Finally, I will present some of our group's results.

Analysis
3:30pm, Room 326
Speaker: Akos Magyar, University of Georgia
Title of talk: On a two dimensional analogue of Roth' theorem.
Abstract: This is a continuation of my talk last semester, however it will be self contained. Also some time will be left for organizing the rest of the seminar.

WEDNESDAY, September 3, 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
Speaker: Ivan Cheltsov, University of Georgia
Title of talk: Non-rational complete intersections
Abstract: There are four ways to prove non-rationality of rationally connected varieties: method of V.Iskovskikh and Yu.Manin (birational automorphisms), method of H.Clemens and P.Griffiths (intermediate Jacobian), method of M.Artin and
D.Mumford (torsion of the third integer cohomology group) and a relatively recent method of J.Kollar. I will explain the nature of the Kollar's method and will prove using it the non-rationality of a general complete intersection in projective space P^M of hypersurfaces of degrees d_i such that \sum d_i = M and at least one of the degrees is different from 2,3 or 5.

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 of talk: On the equivalence between the Artin-Tate and the Birch-Swinnerton-Dyer conjectures.
Abstract: Artin and Tate formulated in 1966 a general conjecture for surfaces over finite fields, modeled after the Birch and Swinnerton-Dyer conjecture over the rationals. They conjectured that this `Artin-Tate' conjecture is equivalent to an analogue of the Birch and Swinnerton-Dyer conjecture over finite fields. This equivalence is not yet known in all cases.
(Neither conjecture is known in general either, although major progress was achieved recently by Kato-Trihan.) After some background on curves ansd surfaces over finite fields, I will discuss these conjectures in detail, and prove that this equivalence holds in some new cases. This is joint work with Liu and Raynaud.

THURSDAY, September 4, 2003

Student Number Theory
3:30p.m., Room 304
Speaker: Kai Laemmle, University of Georgia
Title of talk: TBA
Abstract: TBA

VIGRE Quantum Mechanics Seminar
2:00p.m., Room 303
Speaker: Robert Varley, University of Georgia
Title of talk: Further discussion of rectangular potentials on the line

FRIDAY, September 5, 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
Abstract: In this seminar, we will introduce box spline functions and their basic properties. We shall discuss how to
construct box spline wavelets and prewavelets in Sobolev spaces.

CATS
1:25p.m., Room 306
CATS will not meet this Friday, Sept. 5, due to the CS Faculty Retreat that day.
Graduate Students: if you are a graduate student enrolled in CSCI 8990 (Graduate Seminar) intending to earn your credit by
participating in CATS, ** YOU MUST LET ME KNOW **. You will be expected to attend CATS on a regular basis
and to present a 50 min. talk on a topic agreed upon in advance with me. -- Bob Robinson (rwr@cs.uga.edu).