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SUMMARY:Qiao He (University of Wisconsin-Madison)
DTSTART:20220426T210000Z
DTEND:20220426T220000Z
DTSTAMP:20260423T005851Z
UID:UAANTS/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/41/">
 Kudla-Rapoport conjecture at a ramified prime.</a>\nby Qiao He (University
  of Wisconsin-Madison) as part of University of Arizona Algebra and Number
  Theory Seminar\n\n\nAbstract\nKudla-Rapoport conjecture predicts that the
 re is an identity between the intersection number of special cycles on uni
 tary Rapoport-Zink space and the derivative of local density of certain He
 rmitian form. However\, the original conjecture was only formulated for RZ
  space with hyperspecial level structure over unramified primes. In this t
 alk\, I will motivate the original conjecture and discuss how to modify it
  at a ramified prime.  Finally\, I will sketch a surprisingly simple proof
  of the modified conjecture by taking partial Fourier transform. This is a
  joint work with Chao Li\, Yousheng Shi and Tonghai Yang.\n
LOCATION:https://researchseminars.org/talk/UAANTS/41/
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