University of Georgia
Department of Mathematics

Seminar Schedule
March 26, – March 30, 2007

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

MONDAY, March 26, 2007

Algebra
2:30pm, Room 410
Speaker: Skip Garibaldi, Emory
Title of talk: Orthogonal representations
Abstract: Suppose that a semisimple Lie algebra (or algebraic group) acts on a vector space irreducibly, i.e., such that there are no proper, nonzero invariant subspaces. Criteria have been long known for determining if there is a symmetric bilinear form on the vector space that is preserved by the Lie algebra. In that case, the representation is called orthogonal, and Schur's Lemma implies that the bilinear form is determined uniquely up to a scalar multiple. It is natural to ask for a precise description of this invariant bilinear form. (In the case of the adjoint representation, the problem is to compute the Killing form.) This question is very easy to answer if the field is the complex numbers or finite, or if the algebra is split. We describe some more interesting cases where an answer is known.

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

Topology Seminar
2:30pm, Room 304
No meeting this week

TUESDAY, March 27, 2007

VIGRE-Graduate Student Seminar
2:00pm, Room 304
Speaker: Lloyd Reiber, University of Georgia
Title of talk: TBA
Abstract: TBA

WEDNESDAY, March 28, 2007

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

Number Theory/Arithmetic Geometry
3:30pm, Room 304
Speaker: Robert Rumely, University of Georgia
Title of talk: An introduction to the Berkovich Projective Line

VIGRE – Quantum Mechanics
4:00pm, Room 302

THURSDAY, March 29, 2007

VIGRE – ODE
2:00pm, Room 326

Algebraic Geometry Speical Seminar
2:00pm, Room 304
Speaker: Dan Edidin, Univ of Missouri
Title of talk: On Integral Chow rings of stacks of reduced quadrics
Abstract: We give a presentation of the Artin stack of reduced quadrics in n variables. As an application we compute the Chow ring of the stack the of rational curves with at most one node. We also give a conjectural presentation of the integral Chow ring of the stack of smooth hyperelliptic curves of even genus.

This talk is based on joint work with Damiano Fulghesu.

VIGRE – Geometry
2:00pm, Room 410

FRIDAY, March 30, 2007

Applied Math Seminar
12:20pm-1:10pm, Room 304
(Pizza at 12:10pm)
Speaker: Andrew Sornborger, University of Georgia
Title of talk: High-order operator splitting methods for unitary and parabolic evolution
Abstract: In this talk, I will discuss operator splitting methods and present methods that we developed for unitary quantum simulations on quantum computers. I will also discuss their application to parabolic differential equations and show that a co njecture that these methods are unstable in the parabolic case is incorrect.

Geometry
2:30pm, Room 410
No meeting this week

VIGRE–Algebra
3:30pm, Room 304

VIGRE - Hodge Theoretic questions in Algebraic Geometry
3:30pm, Room 303