
Professor Dror Varolin
Tue Feb 15, 2005
3:00 pm
I will consider a very natural class of functions,
called Hermitian algebraic, that generalize Hermitian polynomials. I will present a Hermitian analog, introduced by J. D'Angelo but already considered implicitly by D. Quillen, of Hilbert's 17th problem:
"When is a nonnegative Hermitian algebraic function a quotient of squared norms of...

Professor James Ralston
Tue Feb 1, 2005
3:00 pm
This will be a survey of one family of results which
followed the famous question "Can you hear the shape of a drum? (Mark Kac
1966). I will discuss the ways that the spectrum (energy levels) of a
(two
body) Schrodinger operator constrain the possible potentials for the
interaction.

Dr. Ning Zhang
Fri Jan 21, 2005
4:00 pm
Let $M$ be a finite dimensional complex manifold. Its loop space
$LM$ is an infinite dimensional complex manifold consisting of
maps (loops) $S^1 \to M$ in some fixed $C^k$ or Sobolev $W^{k,p}$
space. It is a natural question to solve dbar equation
and/or compute the Dolbeault cohomology groups on loop spaces. I
will talk about the joint work...

Tue Nov 16, 2004
3:00 pm

Dr. Robert Juhlin
Tue Nov 9, 2004
3:00 pm

Prof. Timur Oikhberg
Tue Nov 2, 2004
3:00 pm
For a Banach algebras $A$ satisfying certain properties,
we construct an operator space $X$ such that the space of
completely bounded maps $CB(X)$ consists of elements of
$A$ (or, at least, $\pi(A)$, where $\pi$ is a faithful
representation), and their "small" perturbations.
As properties of an operator space are reflected in its
space of...

Professor Yongqing Li
Tue Oct 26, 2004
3:00 pm