Variations of Bergman Kernels and Symmetrization of Plurisubharmonic Functions
Channel: UMD Mathematics
Date: 23/04/2013

Bo Berndtsson
Professor, Mathematical Sciences
Chalmers

ABSTRACT

I will discuss some applications of a theorem on variation of Bergman kernels. I will concentrate on a problem concerning symmetrization of plurisubharmonic functions and generalizations of the Polya-Szegö theorem. These problems turn out to have some relations to Kähler geometry and the openness conjecture for plurisubharmonic functions. (This is mostly joint work with Robert Berman.)

Recorded April 13th, 2013 as part of Calabifest: The 28th Geometry Festival.