##### Department of Mathematics,

University of California San Diego

****************************

### Math 248 - Analysis Colloquium

## Stephen S. T. Yau

#### University of Illinois at Chicago

## Complete invariant of a family of strongly pseudoconvex varieties: Bergman functions

##### Abstract:

Recently, we have introduced a Bergman function for any strongly pseudoconvex variety with only isolated singularities. This is a global biholomorphic invariant for strongly pseudoconvex variety. We shall show that our Bergman function is a complete invariant of a family of strongly pseudoconvex varieties.

Host: Salah Baouendi

### March 15, 2005

### 10:00 AM

### AP&M 6438

****************************