Colloquium
3:00 p.m., Friday (March 16)
Math Annex 1100
Ron Douglas
Texas A&M University
Operator Theory and Complex Geometry
Abstract: An important class of bounded linear operators on complex Hilbert space, distinct from the familiar selfadjoint and normal classes,
is defined by multiplication on spaces of holomorphic functions, defined on domains in C^n for both n=1 and n>1. An important question
is how to characterize such operators and understand their properties. In this talk, we will show how the language and techniques of
complex geometry are relevant to their study. Various examples will be given as well as applications of these techniques to obtain
interesting results in operator theory.
Refreshments will be served at 2:45 p.m. in the Faculty Lounge,
Math Annex (Room 1115).
