Oberseminar Analysis und Theoretische Physik

Seminar Analysis and Theoretical Physics

Online Talk Tuesday, April 13, 2021, 3 p.m. Miroslav Englis (Opava and Prague) Balanced metrics on complex domains

Balanced metrics on complex domains

A Kaehler metric on a complex manifold is called balanced if,
roughly speaking, its potential is the reciprocal of the reproducing
(Bergman) kernel of the space of square-integrable holomorphic sections.
The talk will survey some recent developments concerning the existence
and uniqueness of such metrics on complex domains, and indicate some
open problems in the area.