Kudla-Rapoport conjecture for Kramer model

2022.07.15（星期五），09:00-10:00

点：腾讯会议：683-983-125

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.