Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	陈山大助理研究员，数学研究所
Inviter:	中国科学院数学院学术报告会组委
Title:	Geometry of holomorphic mappings between Hermitian manifolds
Language:	Chinese
Time & Venue:	2024.01.05 11:20-12:00 南楼202教室腾讯会议：534-8268-8299
Abstract:	In this talk, we will discuss geometry of holomorphic mappings between Hermitian manifolds, especially K?hler manifolds. Firstly, we will review some basic properties of bounded symmetric domains. We will focus on three specific classes of holomorphic mappings between Hermitian manifolds. One of them is the class of holomorphic mappings between Hermitian manifolds preserving the p-th exterior power of the fundamental forms for some positive integer p. In this direction, I will explain some results in a recent joint work with Y. Yuan (Syracuse University). After that, we will discuss the geometry of holomorphic isometries from complex unit balls to bounded symmetric domains based on my previous work and my joint work with N. Mok (The University of Hong Kong). Finally, I will explain some rigidity results for proper holomorphic maps between Type-I classical domains.