偏微分方程与几何分析学术报告
时间：2026年6月6日（周六）下午16：30
地点：数学院425报告厅
报告人：关波教授（美国俄亥俄州立大学）
邀请人：徐露
报告题目: Complete Kähler-Einstein metrics on pseudoconvex domains and the complex Monge-Ampère equation.
报告摘要：In this talk, we first provide a brief overview of complex Monge-Ampère equations.
with special boundary data or prescribed singularities that naturally occur in analysis and
geometry. We then discuss a theorem due to work Cheng and Yau on the existence of
Complete Kähler-Einstein metrics on pseudoconvex domains in C. 𝑛 . We seek a more direct
approach to the problem from PDE point of view, and present a method with potential of
broader applications.
