中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 邱聪灵 博士 （Yale University）

题  目：Modularity/automorphy of algebraic cycles on Shimura varieties

时  间：2022.07.22（星期五），09:00-10:00

地  点：腾讯会议：579-885-154      

摘  要：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.