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SUMMARY:Mikayel Mkrtchyan (MIT)
DTSTART:20250916T203000Z
DTEND:20250916T213000Z
DTSTAMP:20260423T130712Z
UID:MITNT/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/119/">
 Higher Siegel-Weil formula for unitary groups over function fields: case o
 f corank-1 coefficients</a>\nby Mikayel Mkrtchyan (MIT) as part of MIT num
 ber theory seminar\n\nLecture held in Room 2-449 in the Simons Building (b
 uilding 2).\n\nAbstract\nThe arithmetic Siegel-Weil formula relates degree
 s of special cycles on Shimura varieties to derivatives of certain Eisenst
 ein series. In their seminal work\, Feng-Yun-Zhang have defined analogous 
 special cycles on moduli spaces of shtukas over function fields\, and prov
 ed a higher Siegel-Weil formula relating degrees of special cycles on modu
 li spaces of shtukas with r legs\, to r-th derivatives of non-degenerate F
 ourier coefficients of the Eisenstein series. In this talk\, I will report
  on joint work with Tony Feng and Benjamin Howard\, where we prove a highe
 r Siegel-Weil formula for corank-1 singular Fourier coefficients. A key fe
 ature of the proof is an unexpected full support property of the relevant 
 "Hitchin" fibration.\n
LOCATION:https://researchseminars.org/talk/MITNT/119/
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