EVENT DETAILS AND ABSTRACT

Title: Problems and results in random complex geometry, I
Speaker: Steve Zelditch
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

This is the first of two talks introducing random complex geometry. The main topic is the zeros (and critical points) of Gaussian random holomorphic sections on Kahler manifolds. Such random sections are of interest in probability theory, complex geometry and string theory. The methods involve the microlocal analysis and asymptotics of Bergman kernels on powers of positive line bundles. This is joint work with B. Shiffman.

In the second talk I will explain a new large deviations result for the zeros in one dimension. The methods involve potential theory on Kahler manifolds, a growing subject in complex geometry. This is partly joint work with O. Zeitouni.