数学科学学院

数论与表示论讨论班——Integral Hecke correspondences and what I learned from studying them

来源:数学科学学院 发布时间:2025-04-25   20

报告人:Michael Rapoport (University of Bonn)


时间:2025年4月25日,11:00-12:00


地点:紫金港校区东7数高院一楼报告厅


组织者:Dongwen Liu, Yifeng Liu,

                Andreas Mihatsch, Binyong Sun


摘要:I will explain more details of our approach to the problem raised in the colloquium talk. (FYI) Colloquium abstract: Shimura varieties are algebraic varieties over a number field. A characteristic feature of them is the abundance of self-correspondences, given by the so-called Hecke correspondences. In the theory of Shimura varieties the construction of integral models has seen a lot of activity over the years. However, the construction of integral models of Hecke correspondences is still in its infancy. I will explain the problem and some recent progress (joint work with Ulrich Gortz and Xuhua He).


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