Texas Differential Equations Conference 2018

Date: March 24, 2018
Location:Downtown UTSA Campus, Durango Building
Time: 1:30 PM - 2:30 PM


Applications of Geometric Invariant Theory to Free Analysis

Dr. Gelu Popescu


UTSA Department of Mathematics

The talk is a survey of several aspects of operator theory on noncommutative polyballs including an analogue of Sz.-Nagy/Foias theory of contractions, a theory of free holomorphic functions on polyballs and their automorphisms, as well as results concerning the curvature invariant and Euler characteristic associated with the elements of the polyball and an extension of Arveson's version of Gauss-Bonnet-Chern theorem from Riemannian geometry. Several open problems are pointed out.

Great Plains Operator Theory Website