报告人:高云 (上海交通大学)

时间: 2021年9月 23日 上午 9:00-10:00

腾讯会议: 204594130

摘要：In this talk, we will introduce a dimension formula for local holomorphic mappings which is inspired from Green hyperplane restriction Theorem. This formula gives a dimension estimate for the linear spans of the images of linear subspaces. As an application, we use this formula to study holomorphic mappings between real hyperquadrics, which is a very classical topic in Several Complex Variables. Combining the dimension formula and a notion of orthogonality, we will present a new coordinate-free approach to the study of holomorphic mappings. Using these method, we are able generalize many well-known rigidity theorems for holomorphic mappings and Segre maps between hyperquadrics, especially the degenerated cases. In addition, we will talk about Huang-Ji-Yin Conjecture on the gap phenomenon and D’Angelo Conjecture about the degree of holomorphic maps. This work is partly jointed with Sui-Chung Ng.

邀请人：龚成