Operator Theory and Complex Geometry

Abstract: An important class of bounded linear operators on complex Hilbert space, distinct from the familiar self-adjoint 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).