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SUMMARY:Maria Fox (Oregon)
DTSTART:20211119T153000Z
DTEND:20211119T170000Z
DTSTAMP:20260423T004701Z
UID:CAFAS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/32/">S
 upersingular Loci of Unitary (2\,m-2) Shimura Varieties</a>\nby Maria Fox 
 (Oregon) as part of Columbia Automorphic Forms and Arithmetic Seminar\n\n\
 nAbstract\nThe supersingular locus of a Unitary (2\,m-2) Shimura variety p
 arametrizes supersingular abelian varieties of dimension m\, with an actio
 n of a quadratic imaginary field meeting the "signature (2\,m-2)" conditio
 n. In some cases\, for example when m=3 or m=4\, every irreducible compone
 nt of the supersingular locus is isomorphic to a Deligne-Lusztig variety\,
  and the intersection combinatorics are governed by a Bruhat-Tits building
 . We'll consider these cases for motivation\, and then see how the structu
 re of the supersingular locus becomes very different for m>4. (The new res
 ult in this talk is joint with Naoki Imai.)\n
LOCATION:https://researchseminars.org/talk/CAFAS/32/
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