时间：2019年11月12日下午1:00-2:00

地点：数学楼102

报告人：郭斌 （Rutgers University）

主持人:刘博

Abstract: In the talk, we will prove uniform gradient and diameter estimates for a family of geometric complex Monge–Ampère equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge–Ampère equations. We also prove a uniform diameter estimate for collapsing families of twisted Kähler–Einstein metrics on Kähler manifolds  of nonnegative Kodaira dimensions. This is based on a joint work with Xin Fu and Jian Song.