Normal Stein spaces with Bergman-Einstein metric and finite ball quotients

Abstract: In this talk, we will start with a conjecture posed by Cheng, which states that the Bergman metric of a bounded, strongly pseudoconvex domain in Cn with smooth boundary is Khaler-Einstein if and only if the domain is biholomorphic to the unit ball Bn. Then we will discuss the recent developments on solving and generalizing Cheng’s conjecture.

The talk is based on a joint paper with Huang, and a recent preprint with Ebenfelt and Xu.

mathematical physicsanalysis of PDEsclassical analysis and ODEscomplex variablesfunctional analysisspectral theory

Audience: researchers in the topic

Harmonic Analysis, Approximation Theory and related topics

Series comments: The talks run on Google Meet. To get the link, please register on the following form sites.google.com/view/athabrazil/updates?authuser=0