University of Georgia
Department of Mathematics

Seminar Schedule
November 10 - November 14, 2003

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

MONDAY, November 10, 2003

Numerical Analysis
1:30p.m., Room 524
No Meeting this week

Geometry
1:30p.m., Room 410
Speaker: Robert Rumely, University of Georgia
Title of talk: Harmonic Analysis on Metrized Graphs
Abstract: This talk will present joint work with Mat Baker, concerning Laplacions and Eigenfunction expansions on graphs.

Topology
2:30p.m., Room 322
No Meeting this week

VIGRE - Algebra Seminar
2:30p.m., Room 410
Speakers: Phil Bergonio, Bobbe Cooper, Michael Guy, Kenyon Platt
Talk: Each talk will provide a short synopsis of an article on nilpotent orbits in bad characterstic.

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

Lie Theory
3:30p.m., Room 303
Speaker: TBA
Title of talk: TBA

TUESDAY, November 11, 2003

VIGRE Graduate Student Seminar
2:00-3:15pm, Room 304
Speaker: Joe Fu, University of Georgia
Title of talk: Kinematic formulas and the Alesker algebra
Abstract: Picking up where we left off in my vigre talk earlier in the semester, we note that the solution of the classical Buffon needle problem is a consequence of the famous ``principal kinematic formula'', which expresses a variety of geometric probabilities involving convex sets in terms of fundamental valuations (volume, perimeter, Euler characteristic, mean breadth, etc.). The various complex (or unitary) Buffon problems we discussed are similarly associated with a formula of the same type.

Recently S. Alesker has observed that the vector space Val of valuations possesses a natural product structure, endowing Val with the structure of a commutative algebra over the real numbers. On the other hand, the kinematic formulas may be viewed as defining a ``coproduct'' on the space of valuations Val^G invariant under a suitable group G of motions. The product and coproduct are intimately intertwined, giving Val^G the structure of a ``sesquialgebra''. This opens the door to working out the kinematic formulas (and thereby an infinite family of fundamental geometric-probabilistic constants) completely algebraically. Beyond the door lies a vast mine of beautiful, important and accessible open problems.

Analysis
3:30p.m., Room 326
Speaker: TBA
Title of talk: TBA

WEDNESDAY, November 12, 2003

Group Representation & Cohomology
2:30p.m., Room 410
Speaker: Dan Nakano, University of Georgia
Title of talk: On the realization of orbit closures as support varieties

Algebraic Geometry
2:30pm, Room 303
Please see Friday, November 14, 2003

Faculty and Graduate Social
3:00pm, Room 409
Coffee, Cookies, Tea

Number Theory/Arithmetic Geometry
3:45pm, Room 304 **Note permanent time change**
Speaker: Sungkon Chang, University of Georgia
Title of talk: Class groups and Selmer groups
Abstract: I shall introduce the definition of the m-Selmer group of an elliptic curve, and I will introduce Edwad Schaefer's algorithm/method of indentifying the first Galois-cohomology group of the m-torsions of elliptic curves.

THURSDAY, November 13, 2003

VIGRE - Contact Topology
9:00a.m., Room 326

VIGRE Quantum Mechanics Seminar
2:00p.m., Room 303
Speaker: Charles Pooh and Chao Zhuang, University of Georgia
Title of talk: Solving the Schroedinger equation for the hydrogen atom, part 2

Student Number Theory
3:30p.m., Room 304
Speaker: Rene Shumbusho, University of Georgia
Title of talk: TBA


FRIDAY, November 14, 2003

*Please note change of DAY, TIME and ROOM! *
Algebraic Geometry
1:25 pm, Room 323
Speaker: Ludmil Katzarkov, U. of California, Irvine
Title of talk: Homological Mirror Symmetry for manifolds of general type
Abstract: In this talk we will explain what is Homological Mirror Symmetry for manifolds of general type. We will show explicit calculations in several examples and discuss some applications to 4 - dimensional symplectic geometry.

CATS
1:25p.m., Room 306
Speaker: TBA
Title of talk: TBA

Wavelet Analysis
2:30p.m., Room 524
Speaker: Ming-Jun Lai, University of Georgia
Title of talk: Multivariate refinable vectors, multi-wavelets and multi-tight framelets
Abstract: We first introduce multivariate refinable vectors. An example of bivariate C^1 cubic splines as a refinable vector will be shown. Then we discuss how to construct multi-wavelets and multi-tight framelets.