Operator Theory Seminar

Paul Muhly
"Free Holomorphic Functions and the Kempf-Ness Theorem"

Abstract: The functions that I will describe can be usefully represented as sections of a certain matrix bundle.  The base of that bundle is an abstractly defined complex algebraic variety with singularities. The Kempf-Ness theorem enables one to realize this variety more concretely, from topological and analytic perspectives, as the quotient space of a space of matrices on which the projective unitary group acts.  This concrete realization, in turn, provides a way of parametrizing certain important invariants of the algebras that the functions generate.

Event Date: 
April 25, 2017 - 1:30pm to 2:30pm
309 VAN
Calendar Category: