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：数玩偶姐姐 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.