itle：Compactness in Kahler geometry via Ricci curvature and/or the complex Monge-Ampere equation

Speaker：何维勇 （俄勒冈大学）

Time：2017年12月22日   下午4:00-5:00

Room：东区管理科研楼  数学科学学院1518室

Abstract：  We discuss  compactness results of Kahler metrics in a fixed Kahler class, under geometric  assumptions such as Ricci curvature bound  and/or log-volume ratio bound. The classical result in this direction is Yau’s solution of the Calabi conjecture and complex Monge-Ampere equation. Our main interest is to deduce the estimate of the metric (estimates of second order), under the certain minimal assumptions. We summarize 

some of our old results, and prove some new results in this direction. The talk is based on joint work with Xiuxiong Chen for many years, and 

recent joint work with Xiuxiong Chen and Tamas Darvas.