讲座题目：Complete Kähler-Einstein metrics of negative scalar curvature and complex Monge-Ampere equation
主讲人：关波 教授
主持人：刘钢 教授
开始时间：2025-07-03 14:00
讲座地址：闵行区数学楼102报告厅
主办单位：数学科学学院
报告人简介：
关波，俄亥俄州立大学数学系教授。研究方向为非线性偏微分方程和几何分析，主要工作集中在蒙日-安培方程以及流形上一般完全非线性偏微分方程的研究。其学术成果发表在 Ann. of Math., Duke Math. J., Comm. Pure Appl. Math., J. Eur. Math. Soc., Amer. J. Math., J. Differential Geom.等著名期刊上。
报告内容：
We try to understand a theorem of Cheng and Yau who proved the existence of complete Kahler-Einstein metrics of negative curvature on a strong pseudoconvex domain. We take a more elementary approach from the PDE point of view using a proximation by Dirichlet problem for the complex Monge-Ampere equation studied in the work of Cheng-Yau. This is part of a project under progress.
