EVENT DETAILS AND ABSTRACT

Title: Convexity of regular set of singular Kahler-Einstein metrics
Speaker: Ved Datar
Speaker Info: University of Notre Dame
Brief Description:
Special Note:
Abstract:

In this talk we will look at Kahler metrics solving certain singular complex Monge-Ampere equations. We will first show that such metrics can be approximated, in the Gromov-Hausdorff topology, by smooth Kahler metrics with uniform diameter and Ricci lower bounds. We will then use the work of Colding-Naber to show that the regular set is convex in a certain limiting sense. As a by-product, one can generalize some of the classical comparison theorems such as Myers and Bishop-Gromov to this singular setting.