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SUMMARY:Matteo Tamiozzo (Imperial College London)
DTSTART:20211013T140000Z
DTEND:20211013T150000Z
DTSTAMP:20260418T070211Z
UID:LNTS/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/50/">Pe
 rfectoid Jacquet-Langlands and the cohomology of Hilbert modular varieties
 </a>\nby Matteo Tamiozzo (Imperial College London) as part of London numbe
 r theory seminar\n\nLecture held in Huxley 139\, Imperial.\n\nAbstract\nDe
 uring and Serre showed that the supersingular locus in a special fibre of 
 a modular curve can be identified with a Shimura set attached to a definit
 e quaternion algebra. I will discuss a perfectoid version of this result o
 ver totally real fields\, comparing the cohomology of fibres of the Hodge-
 Tate period maps attached to different quaternionic Shimura varieties. I w
 ill then explain how this can be used to prove vanishing theorems for the 
 cohomology with torsion coefficients of Hilbert modular varieties. This is
  joint work with Ana Caraiani.\n
LOCATION:https://researchseminars.org/talk/LNTS/50/
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