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SUMMARY:The de Rham Property of Automorphic Galois Representations  over C
 M Fields
DTSTART:20251211T100000Z
DTEND:20251211T113000Z
DTSTAMP:20260505T203500Z
UID:indico-event-15468@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Lambert A'Campo (IHES)\n\nIn joint work in progress 
 with Hevesi\, Thorne and Whitmore\, we prove that automorphic Galois repre
 sentations over CM fields are de Rham and have the expected Hodge--Tate we
 ights. The novelty of our result is that we do not impose any assumptions 
 on the residual mod p Galois representation. To achieve this\, we prove a 
 theorem on the cohomology of certain unitary Shimura varieties\, which giv
 es a bound on the maximal order of a torsion class in the lower half of de
 grees of cohomology. After placing this theorem in the right context and d
 iscussing its proof\, I will sketch how it relates to the de Rham property
  of automorphic Galois representations.\n \n========\nPour être informé
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 event/15468/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15468/
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