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SUMMARY:Matteo Tamiozzo (Imperial College London)
DTSTART:20220429T130500Z
DTEND:20220429T140500Z
DTSTAMP:20260423T021341Z
UID:NTUniPD/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTUniPD/11/"
 >Perfectoid Jacquet-Langlands correspondence and the cohomology of Hilbert
  modular varieties</a>\nby Matteo Tamiozzo (Imperial College London) as pa
 rt of Number Theory Seminars at Università degli Studi di Padova\n\n\nAbs
 tract\nThe work of Tian-Xiao on the Goren-Oort stratification for quaterni
 onic Shimura varieties provides a geometric incarnation of the Jacquet-Lan
 glands correspondence\, and leads to a geometric approach to level raising
  of quaternionic automorphic forms. I will describe a perfectoid version o
 f Tian-Xiao's result\, and explain how it can be used\, joint with geometr
 ic properties of the Hodge-Tate period map\, to prove vanishing theorems f
 or the cohomology of quaternionic Shimura varieties with torsion coefficie
 nts. This is joint work with Ana Caraiani.\n
LOCATION:https://researchseminars.org/talk/NTUniPD/11/
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