数学研究所

数学科学全国重点实验室

学术报告

多复变与复几何研讨班

SCV&CG Seminar

Speaker: 杨晓奎 教授（清华大学）

Inviter: 周向宇 院士

Language: Chinese

Title: Total scalar curvature and comparison theorems in Kähler geometry

Time & Venue: 2025年5月23日（星期五） 15:30 - 16:30 & 南楼N913

Abstract: In this talk, we present new comparison theorems on scalar curvature and the corresponding rigidity in Kähler geometry.

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Title: Schwarz lemma, RC-positivity and comparison theorems

Time & Venue: 2025年5月23日（星期五） 16:40 - 17:40 & 南楼N913

Abstract: In this talk we present new Schwarz lemmas  for holomorphic maps between complex manifolds whose

curvature tensors are described by the notion “RC-positivity”. In particular, new diameter and volume comparison theorems are obtained by using RC-positivity.