Yun Gao, SJTU, Shanghai & HKU, Hong Kong

Proper holomorphic mappings among generalized balls

Abstract

We will introduce the fundamentals and literature about the proper holomorphic mappings among generalized balls. Generalized balls are symmetric domains on complex projective spaces whose boundaries are real hyperquadrics. The signature of the boundary real hyperquadric is the key issue in the study. We will explain the methods employed and talk about some classification results for certain special cases.