From: Kelli McGee \(Kelly Services Inc\) (a-kellim@microsoft.com)
Date: Mon Mar 01 2004 - 14:30:59 PST
You are invited to attend...
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WHO: Barry Simon
AFFILIATION: California Institute of Technology
TITLE: The Sharp Form of the Strong Szego Theorem
WHEN: Mon 5/10/2004
WHERE: 113/1021 Research Lecture Room, Microsoft Research
TIME: 3:30PM-5:00PM
HOST: Jennifer Chayes
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ABSTRACT:
This talk will discuss a proof of the Strong Szego theorem on the second
term in the asymptotics of Toeplitz determinants. After a brief
discussion of the history, I'll discuss the elementary argument that
reduces the sharp (optimal) result to the case of analytic symbols.
I'll then present a new proof of the theorem in the analytic case. I'll
present the necessary background from the theory of orthogonal
polynomials on the unit circle along the way.
BIO:
Barry Simon is the IBM Professor of Mathematics and Theoretical Physics
at Caltech. Prior to joining the faculty of Caltech in 1981, he was on
the faculty at Princeton for 12 years and he also got his PhD there
under Arthur Wightman. He has worked on a variety of areas in
mathematical physics and functional analysis including problems in
Quantum Field Theory, Statistical Mechanics and Schrodinger Operators.
Much of his recent work is on spectral theory and on inverse problems.
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