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BIMSA-YMSC Tsinghua Number Theory Seminar
A proof of Kudla-Rapoport conjecture for Kramer models at ramified primes
A proof of Kudla-Rapoport conjecture for Kramer models at ramified primes
Organizers
Hansheng Diao
, Yueke Hu
, Emmanuel Lecouturier
,
Cezar Lupu
Speaker
Qiao He
Time
Tuesday, November 29, 2022 10:30 AM - 11:30 AM
Venue
1131
Online
Zoom 293 812 9202
(BIMSA)
Abstract
n 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.