Venue: Lecture Hall (Room 210), Hai Na Yuan 2#, Zijingang Campus

Speaker: Michael Rapoport（University of Bonn）

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 activities 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).

Profile: Michael Rapoport, one of the most esteemed contemporary mathematicians, has made groundbreaking contributions to arithmetic algebraic geometry throughout his career. With his early work on the Zeta function of Shimura varieties, and his ensuing study of local Shimura varieties, he has introduced fundamental concepts that shaped the development of this area. In his recent collaborations with Steve Kudla and Wei Zhang, he has opened yet another perspective for the field, leading to spectacular developments in arithmetic intersection theory. Overall, his oeuvre has profoundly expanded the geometric direction of the Langlands program.

Rapoport is a professor emeritus of Bonn University and holds a teaching position at the University of Maryland. He received the German Leibniz prize, the Humboldt prize, the Hopf prize, and was an invited ICM speaker. He is also an acclaimed academic teacher, having mentored numerous successful students during their early careers.