**Prof. Rafe Mazzeo**

Stanford University, Standford, CA

**"Degenerate Monge-Ampere Equations and Critical Exponent Elliptic Equations"**

**Abstract:**

Some recent existence results for Kahler-Einstein metrics with singularities along a divisor will be discussed, with particular emphasis on some interesting new analytic phenomena which arise in the solution. These phenomena are closely related to some more well-known behavior for semilinear elliptic problems with critical exponents. A survey of the background geometry will be provided.

#### Friday, April 07, 2000

3:00 PM in 335 Jabara Hall

Please join us for refreshments before the lecture at 2:30p.m. in room 353 Jabara Hall.

[ Spring 2000]