Seminar Schedule
October 29 - November 2, 2007
All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.
MONDAY, October 29, 2007
Algebra
2:30pm, Room 410
Speaker: Carrie Wright, University of Georgia
Title of talk: Second Cohomology Groups for Frobenius Kernels
Abstract: Let $G$ be a simple, simply connected, affine algebraic group scheme defined over an algebraically closed field $k$ of characteristic $p$, $B$ be a Borel subgroup of $G$, and $U$ be the unipotent radical of $B$. Let $F: G \rightarrow G$ be the Frobenius map and $G_r$ (respectively $B_r$, $U_r$) be the $r$-th Frobenius kernels of $G$ (respectively $B$,$U$). Bendel, Nakano, and Pillen computed the following cohomology groups when $p \geq 3$: $\operatorname{H}2(B, \lambda)$, $\operatorname{H}2(G_r, H0(\lambda))$, $\operatorname{H}2(B_r, \lambda)$, and $\operatorname{H}2(U_1, \lambda)$, where $H0(\lambda)=\operatorname{ind}_B^G \; \lambda$.
In this talk, I will present my results which complete the project when $p=2$ and illustrate how the aforementioned cohomology calculations are interrelated.
Joint Topology Seminar to be held at Georgia Tech.
Contact Will Kazez for ride sharing info.
2:30 pm Skiles 269, Georgia Tech
Speaker: Andras Stipsicz, Renyi Institute and Columbia University
Title of talk: Tight contact structures on Seifert fibered 3-manifolds
Abstract: After discussing the basics of contact surgery in dimension 3, and introducing contact Ozsvath--Szabo invariants, we show that a Seifert fibered 3--manifold does admit a positive tight contact structure unless it is orientation preserving diffeomorphic to the result of (2n-1)-surgery along the T(2,2n+1) torus knot (for some positive integer n).
3:45 pm, Skiles 269, Georgia Tech
Speaker: Gordana Matic, University of Georgia
Title of talk: A contact invariant in sutured Floer homology.
Abstract: Ozsv\'ath and Sz\'abo have introduced an invariant of contact structures that lives in Heegaard-Floer homology which detects tightness. We will explain a way to define it in terms of an open book decomposition, state some consequences, and then give a generalization to the case of manifolds with boundary. This is joint work with Ko Honda and Will Kazez.
Faculty and Graduate Social
3:00pm, Room 409
Coffee, Tea, Cookies
TUESDAY, October 30, 2007
VIGRE - Graduate Student Seminar
2:00pm, Room 304
No meeting this week
FRG Analysis and Additive Combinatorics Working Group
3:30pm, Room 410
WEDNESDAY, October 31, 2007
Algebraic Geometry
2:30pm, Room 410
Speaker: Valery Alexeev, University of Georgia
Title of talk: K3 surfaces: classical and tropical
Abstract: I will review work of Kontsevich-Soibelman, and discuss the connections with classical results and open problems.
Faculty and Graduate Student Social
3:00pm, Room 409
Coffee, Cookies, Tea
Arithmetic Geometry/Number Theory
3:30pm, Room 304
Speaker: Shuhong Gao, Clemson University
Title of talk: Selected problems in Coding theory
Abstract: The talk will be a survey of recent developments in coding theory over finite fields as well as over real numbers. Several open problems will be presented. Some of the problems concern deep holes and bad centers and are related to discrete logarithm problem for finite fields, elliptic curves, NP-completeness, etc, while other problems are related to sampling theory, image recovery and sensor networks, linear/convex programming, etc. These problems are suitable research topics for projects or theses for graduate and undergraduate students.
Mathematical Physics
3:45pm, Room 302
Speaker: Ronald Fox, Georgia Institute of Technology (emeritus)
Title of talk: Fluctuations, chaos and coherent quantum states
THURSDAY, November 1, 2007
Applied Math
2:00pm, Room 302
Speaker: TBA
Title of talk: TBA
VIGRE Tropical Geometry
2:00pm, Room 304
VIGRE Number Theory
2:30pm, Room 326
VIGRE Algebraic Geometry
3:30pm, Room 323
VIGRE Circle Packing
3:30pm, Room 222
FRIDAY, November 2, 2007
VIGRE Algebra
1:30pm, Room 302
Geometry
2:30pm, Room 410
Speaker: Jesse Ratzkin, University of Georgia
Title of talk: Eigenvalues of spherical wedge domains
Abstract: I will discuss an estimate Andrejs Treibergs and I have found for the first Dirichlet eignevalue for a domain on the two-sphere which is contained in a wedge. The estimate depends on the openning angle of the wedge, and is based on an isoperimetric-type inequality weighted by a certain harmonic function. (This talk will be equally interesting for analysists and geometers. I hope.)