A proof of Kudla-Rapoport conjecture for Kramer models at ramified primes

Title: A proof of Kudla-Rapoport conjecture for Kramer models at ramified primes

Speaker: Qiao He (University of Wisconsin-Madison)

Time: 10:30-11:30 Beijing time, Nov 29, 2022

Venue: BIMSA 1131

Zoom ID: 293 812 9202  Passcode: BIMSA

 

Abstract:

In this talk, I will first talk about the Kudla-Rapoport conjecture, which suggests a precise identity between arithmetic intersection numbers of special cycles on Rapoport-Zink space and  derived local densities of hermitian forms. Then I will discuss how to modify the original conjecture over ramified primes and how to prove the modified conjecture. On the geometric side, we completely avoid explicit calculation of intersection number and the use of Tate’s conjecture.  On the analytic side, the key input is a surprisingly simple formula for derived primitive local density. This talk is based on joint work with Chao Li, Yousheng Shi and Tonghai Yang.

 

BIMSA-YMSC Tsinghua Number Theory Seminar