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SUMMARY:Maria Fox (University of Oregon)
DTSTART:20220503T210000Z
DTEND:20220503T220000Z
DTSTAMP:20260423T010011Z
UID:UAANTS/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/42/">
 Supersingular Loci of Unitary (2\,m-2) Shimura Varieties</a>\nby Maria Fox
  (University of Oregon) as part of University of Arizona Algebra and Numbe
 r Theory Seminar\n\n\nAbstract\nThe supersingular locus of a Unitary (2\,m
 -2) Shimura variety parametrizes supersingular abelian varieties of dimens
 ion m\, with an action of a quadratic imaginary field meeting the "signatu
 re (2\,m-2)" condition.\nIn some cases\, for example when m=3 or m=4\, eve
 ry irreducible component of the supersingular locus is isomorphic to a Del
 igne-Lusztig variety\, and the intersection combinatorics are governed by 
 a Bruhat-Tits building. We'll consider these cases for motivation\, and th
 en see how the structure of the supersingular locus becomes very different
  for m>4. (The new result in this talk is joint with Naoki Imai.)\n
LOCATION:https://researchseminars.org/talk/UAANTS/42/
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