中国科学院数学与系统科学研究院

数学研究所

学术报告

非线性泛函分析讨论班

Speaker:姜旭旻（大湾区大学）

Inviter: 孙黎明 副研究员

Language: Chinese

      Title:  Convergence theorems for Kähler-Einstein metrics

Time&Venue: 2025年6月6日（星期五）10:30-11:30 

& 思源楼S817

Abstract:In this talk, we delve into the convergence theorems for solutions to geometric partial differential equations (PDEs) near the boundary, with a particular focus on complex Monge-Ampère equations. These equations serve as a key tool for constructing complete Kähler-Einstein metrics on pseudoconvex complex domains. We will introduce diverse types of convergence theorems under distinct settings, including one that incorporates a smooth yet non-analytic assumption.