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SUMMARY:Purity of Motivic Cohomology in mixed-characteristic
DTSTART:20260409T120000Z
DTEND:20260409T130000Z
DTSTAMP:20260411T115300Z
UID:indico-event-16329@indico.math.cnrs.fr
DESCRIPTION:Speakers: Arnab Kundu\n\nMotivic cohomology is a cohomology th
 eory that can be defined internally within Grothendieck's category of moti
 ves. Voevodsky developed this theory for smooth varieties\, demonstrating 
 its profound connections to algebraic cycles and algebraic K-theory. Howev
 er\, its behaviour in mixed-characteristic remains less well understood. B
 uilding on recent advancements by Bachmann\, Elmanto\, Morrow\, and Bouis\
 , in a joint work with Bouis\, we demonstrate a purity result over deeply-
 ramified bases. I will also discuss an application of this result in p-adi
 c Hodge theory.\n\nhttps://indico.math.cnrs.fr/event/16329/
URL:https://indico.math.cnrs.fr/event/16329/
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