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SUMMARY:A Motivic Approach to p-adic Hodge Theory
DTSTART:20250522T090000Z
DTEND:20250522T103000Z
DTSTAMP:20260504T213800Z
UID:indico-event-14372@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Tess Bouis (Universität Regensburg)\n\nA category o
 f motives is an axiomatic framework in which several cohomology theories\,
  which typically appear in algebraic geometry\, are represented. While Voe
 vodsky's classical framework of motivic homotopy theory focused on $\\math
 bb{A}^1$-invariant cohomology theories\, such as $\\ell$-adic étale cohom
 ology\, the more recent developments in integral $p$-adic Hodge theory hav
 e motivated lots of progress towards a more general theory of non-$\\mathb
 b{A}^1$-motives in which $p$-adic cohomology theories\, such as crystallin
 e or prismatic cohomology\, are also represented. In this talk\, I want to
  explain how the Beilinson--Lichtenbaum phenomenon in non-$\\mathbb{A}^1$-
 invariant motivic cohomology can be used to shed some light on the proof o
 f Fontaine's crystalline conjecture in $p$-adic Hodge theory. This is base
 d on a joint work with Arnab Kundu\, where we develop a version in familie
 s of Gabber's presentation lemma to prove such a Beilinson--Lichtenbaum ph
 enomenon over general valuation rings. \n \n========\nPour être inform
 é des prochains séminaires vous pouvez vous abonner à la liste de diffu
 sion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "
 subscribe seminaire_mathematique PRENOM NOM"(indiquez vos propres prénom 
 et nom) et laissez le corps du message vide.\n\nhttps://indico.math.cnrs.f
 r/event/14372/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/14372/
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