From: Brenda Sue Cook (brenda@math.missouri.edu)
Date: Mon Sep 24 2007 - 08:16:01 CDT
SEMINAR SCHEDULE FOR SEPTEMBER 24-28, 2007 (updated)
Monday, September 24, 2007
Algebra Seminar
Cancelled
312 Mathematical Sciences
4:00-4:50 p.m.
Tuesday, September 25, 2007
Geometry & Topology Seminar
312 Mathematical Sciences
1:00-1:50 p.m.
Astrophysics/Relativity Seminar
Cancelled
216 Physics Building
1:00-1:50 p.m.
Modern Analysis Seminar
Matt Cecil (University of Connecticut)
The Taylor Map on Complex Path Groups
Abstract: A well-known fact from elementary complex analysis is that
a holomorphic
function on $\mathbb{C}$ is determined by its derivatives at the origin
via its everywhere convergent Taylor expansion. Given a Gaussian
measure
$\mu_t$, one can view this Taylor expansion as giving a Hilbert space
isomorphism from $\mathcal{H}L^2(\mu_t)$ to a space of ``derivatives at
the origin" endowed with an appropriate norm. This ``Taylor map" is one
part of the larger Fock space isomorphism which has a natural
interpretation in the context of quantum fields.
The Taylor map can be formulated in non-commutative settings (replace
$\mathbb{C}$ by a complex Lie group above) and in many infinite
dimensional settings as well. I will review these known results and
highlight the case of the Taylor map acting on holomorphic functions on
$\mathcal{W}(G)$, the path group of a connected complex Lie group, which
are square integrable with respect to an appropriate heat kernel
measure.
The topic offers a nice blend of probability, geometry, and analysis
and I
will attempt to present it as such.
312 Mathematical Sciences
2:00-2:50 p.m.
Banach Space Seminar
Han Ju Lee (visiting UMC, Math)
Complex convexity and monotonicity in quasi-Banach lattices
312 Mathematical Sciences
3:00-3:50 p.m.
Wednesday, September 26, 2007
NSF/FRG Seminar on Fourier Analytic and Probabilistic Methods in
Convexity
Witold Bednorz (UMC, Math)
Selector processes and the Bernoulli conjecture (after Talagrand)
312 Mathematical Sciences
12:00-1:00 p.m.
Thursday, September 27, 2007
Differential Equations Seminar
Ciprian Gal (UMC, Math)
Dynamical boundary conditions for evolutions equations Part I:
Derivations and Interpretations
309 General Classroom Building
1:00-1:50 p.m.
Fall 2007
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