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Geometry & Topology Seminar

Singular metric and scalar curvature

  • 演讲者:李文俊(香港中文大学)

  • 时间:2021-12-02 15:00-16:00

  • 地点:腾讯会议 ID 411663053

Abstract 

A classical Theorem in conformal geometry states that on a closed manifold with non-positive Yamabe invariant, a smooth metric which attains the invariant must be Einstein. In this talk, we will discuss the extension to continuous metrics with high co-dimensions singularity. This resolves a conjecture of Schoen in the category of continuous metrics. This is a joint work with L.-F. Tam. 


报告人简介:李文俊(Lee, Man-Chun),香港中文大学助理教授。2018 年于香港中文大学取得博士学位,之后先后在 UBC、Northwestern、Warwick 从事博士后研究工作。研究方向为几何分析,特别是在复几何领域做出多项创新性工作。其工作发表在Geom. Topol.、J. Differential Geom.、Calc. Var. Partial Differential Equations、 J. Funct. Anal. 、Math. Ann.、Trans. Amer. Math. Soc.、IMRN 等国际知名期刊上。