Title: Commutative Algebras of Toeplitz Operators and Berezin Quantization
Speaker: Nikolai L. Vasilevski
Institution: Department of Mathematics, CINVESTAV, México DF., México
Abstract

We give a complete description of commutative C*-algebras of Toeplitz operators in terms of pencils of hyperbolic geodesics on the unit disk. We discuss as well the spectral behaviour of Toeplitz operators when the weight parameter of the Bergman space varies.