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SUMMARY:Zhiwei Yun (MIT)
DTSTART:20210312T153000Z
DTEND:20210312T170000Z
DTSTAMP:20260423T022621Z
UID:CAFAS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/19/">T
 owards a higher arithmetic Siegel-Weil formula for unitary groups</a>\nby 
 Zhiwei Yun (MIT) as part of Columbia Automorphic Forms and Arithmetic Semi
 nar\n\n\nAbstract\nThe classical Siegel-Weil formula relates an integral o
 f a theta function along one classical group H to special values of the Si
 egel-Eisenstein series on another classical group G. Kudla proposed an ari
 thmetic analogue of it that relates a generating series of algebraic cycle
 s on the Shimura variety for H to the first derivative of the Siegel-Eisen
 stein series for G\, which has become a very active program. We propose to
  go further in the function field case\, relating a generating series of a
 lgebraic cycles on the moduli of H-Shtukas with multiple legs to higher de
 rivatives of the Siegel-Eisenstein series for G\, when H and G are unitary
  groups. We prove such a formula for nonsingular Fourier coefficients\, re
 lating their higher derivatives to degrees of zero cycles on the moduli of
  unitary Shtukas. The proof ultimately relies on an argument from Springer
  theory. This is joint work with Tony Feng and Wei Zhang.\n
LOCATION:https://researchseminars.org/talk/CAFAS/19/
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