报告题目：Uniformization theorems associated to Bergman metric and some open problems

报 告 人：Song-Ying Li教授

报告时间：2025年6月26日周四15:00-16:00

报告地点：龙洞校区行政楼610会议室

主 持 人：陈智奇教授

报告摘要：In this talk, I will present a joint work with Xiaojun Huang (from Rutgers University). We study domains in Cn or Stein manifolds M such that their Bergman metrics have constant holomorphic sectional curvature κ. We prove a uniformization theorem when κ < 0 through the Calabi rigidity theorem and holomorphic extension theorems. We also discuss the case when κ ≥ 0. We provide several interesting examples of existence of such M. Under certain conditions on M, we prove that the Bergman metric of M can not have non-negative constant holomorphic sectional curvatures. I will also present several open problems related to Bergman metrics.

报告人简介：Song-Ying Li教授，男， University of California, Irvine教授，国际知名数学家。在 J. Differential Geom.， Amer. J. Math.， Math. Ann.， Adv. Math.， Anal & PDE， Trans. Amer. Math. Soc.， Sci. China Ser. A等国内外学术期刊发表论文80余篇。