Modularity/automorphy of algebraic cycles on Shimura varieties

2022-07-21

Speaker: 邱聪灵博士 (Yale University)
Title: Modularity/automorphy of algebraic cycles on Shimura varieties
Time & Venue: 2022.07.22 09:00-10:00; 腾讯会议:579-885-154   
Abstract: Algebraic cycles are central objects in algebraic/arithmetic geometry, and problems around them are very difficult. For Shimura varieties, modularity of generating series with coefficients being algebraic cycles has been proved useful in the of study of algebraic cycles. A closely related problem is the automorphy of representations spanned by algebraic cycles. I will discuss the history of these problems, some progress and applications.