Seminar Schedule
March 27 – March 31, 2006
All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.
MONDAY, March 27, 2006
VIGRE-Algebraic Geometry
3:30pm, Room 304
Topology/Geometry
2:30pm Room 222
No Meeting this week
Algebra
2:30pm, Room 410
Speaker: Brian Boe, University of Georgia
Title of talk: Infinite-dimensional modules which "look"
finite-dimensional.
Abstract: A Kostant module is a simple highest weight module
whose u-cohomology decomposes via a formula like Kostant's famous theorem for
the u-cohomology of a finite-dimensional module. Here u is the nilradical of
a parabolic subalgebra of a complex simple Lie algebra. I will discuss some
equivalent formulations, including one involving geometry of Schubert varieties.
I will describe how certain "standard" Kostant modules are associated
to subdiagrams of the Dynkin diagram.
In a second talk, I will show that, for maximal parabolics in simply-laced type, all Kostant modules with regular integral highest weights are standard. I will also give a complete classification of all (singular) Kostant modules for the parabolics associated to Hermitian symmetric spaces. If time permits, I will show what can go wrong with singular modules for general maximal parabolics, and propose an idea for handling these.
Analysis
2:30pm, Room 303
Speaker: Gerd Mockenhaupt, Katholische Universität Eichstätt-Ingolstadt
Title of talk: Optimal extension of the Hausdorff-Young
inequality, part I
Abstract: The Hausdorff-Young inequality for the Fourier transform
on the torus states: $\|\hat f\|_{l^{p'}(\mathbb Z)}\leq \|f\|_{L^p(\mathbb
T)}$, where $1/p+1/p'=1$. In this talk we address the question of the existence
and description of the {\it optimal} domain $X$ such that the Fourier transform
has a continuous extension from $X$ into $l^{p'}(\mathbb Z)$.
Faculty and Graduate Student Social
3:00pm, Room 409
Coffee, Cookies, Tea
TUESDAY, March 28, 2006
VIGRE-Graduate
Student Seminar
2:00p.m., Room 304
Speaker: Bobbe Cooper, University of Georgia
Title of talk: TBA
Analysis
2:30pm, Room 303
Speaker: Gerd Mockenhaupt, Katholische Universität Eichstätt-Ingolstadt
Title of talk: Optimal extension of the Hausdorff-Young
inequality, part II
Abstract: The Hausdorff-Young inequality for the Fourier transform
on the torus states: $\|\hat f\|_{l^{p'}(\mathbb Z)}\leq \|f\|_{L^p(\mathbb
T)}$, where $1/p+1/p'=1$. In this talk we address the question of the existence
and description of the {\it optimal} domain $X$ such that the Fourier transform
has a continuous extension from $X$ into $l^{p'}(\mathbb Z)$.
WEDNESDAY, March 29, 2006
Geometry in the Curriculum Seminar
1:25pm, Aderhold, Room 111
Speaker: Clint McCrory, University of Georgia
Title of talk: Discussion of the Georgia Center workshop
Algebraic Geometry
2:30pm, Room 410
Speaker: TBA
Title of talk: TBA
VIGRE- Algebra
2:30pm, Room 303
Speaker: Lenny Chastkofsky, University of Georgia
Title of talk: Cohomology in degree p+r
Faculty and Graduate Student Social
3:00pm, Room 409
Coffee, Cookies, Tea
Arithmetic Geometry/Number Theory
3:30pm, Room 304
Speaker: Robert Rumely, University of Georgia
Title of talk: Multi-resultants and the Fekete-Leja Transfinite
Diameter, continued
THURSDAY, March 30, 2006
VIGRE – Feynman Diagrams
2:00pm, Room 326
VIGRE – Cardiac Physiology
2:00pm, Room 640
VIGRE- Zeta Functions
2:15pm, Room 302
VIGRE-Algebraic Geometry
2:00pm, Room 304
FRIDAY, March 31, 2006
Probability Theory
2:30-3:30pm, Room 303
Speaker: Jie Yu, University of Georgia
Title of talk: Kalman filter for Markov processes (cont.)