中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
多复变与复几何学术讨论班
Some Topics in Several Complex Variables
报告人：傅鑫 博士（罗格斯大学）
题 目： Geometric estimate of Monge-Ampère equation
时 间：2019.12.31（星期二）, 14:30-16:00
地 点：数学院南楼N202
摘 要：We 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 K？hler-Einstein metrics on K？hler manifolds of nonnegative Kodaira dimensions.