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

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).