报告题目：Hyperplane restriction theorem and the Gap conjecture

报告时间：2025-05-08  15:30-16:30

报 告 人：高云 副教授（上海交通大学）

报告地点：雷军科技楼六楼报告厅（601）

Abstract：We will introduce a hyperplane restriction theorem for the local holomorphic mappings between projective spaces, which is inspired by an analogous theorem of M. Green for the linear systems in projective spaces.  This theorem provides us a formula to estimate the dimension of the linear span of image from that of a general linear subspace.  We will apply this theorem to study the structure of rational proper mappings between complex unit balls, with a specific focus on the Gap conjecture proposed by Huang - Ji - Yin. The Huang-Ji-Yin Gap conjecture posits the existence of a sequence of gaps for the rational proper maps between complex unit balls. It is a joint work with Sui-Chung Ng.