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： 石友晟 博士 （University of Wisconsin）

题  目：Kudla-Rapoport conjecture for Kramer model

时  间：2022.07.15（星期五），09:00-10:00

地  点：腾讯会议：683-983-125       

摘  要：Kudla-Rapoport conjecture predicts that there is an identity between the intersection number of special cycles on unitary Rapoport-Zink (RZ) space and the derivative of local density of certain Hermitianform. However, the original conjecture was only formulated for RZ spaces at unramified primes with hyperspecial level structure. In this talk, I will motivate the original conjecture and discuss how to modify it for Kramer models of RZ spaces at a ramifiedprime. Then I will discuss a proof of the modified conjecture. This is a joint work with Qiao He, Chao Li and Tonghai Yang.