Speaker: Yuan Yuan, Johns Hopkins University

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Venue:DM 409A

Abstract: Local holomorphic isometries were systematically studied in 50's by Calabi and recently number theorists applied the geometry and analysis for local holomorphic maps between bounded symmetric domains to attack the problem in number theory, which also motivates our study of such questions. I will describe the main theorems on the global extension and the rigidity for local holomorphic isometries between Hermitian symmetric spaces and explain the relation with CR geometry and proper holomorphic mappings between balls.