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SUMMARY:Six Functors for Pro-Étale Cohomology on v-Stacks - Lucas Mann (W
 estfalische Wilhelms-Universitat Munster)
DTSTART:20250618T091500Z
DTEND:20250618T101500Z
UID:TALK232636@talks.cam.ac.uk
DESCRIPTION:I will present the construction of a 6-functor formalism (join
 t with Ansch&uuml\;tz and Le Bras) for pro-&eacute\;tale $\\mathcal O$- an
 d $\\mathcal O^\\flat$-cohomology on small v-stacks. I will then explain h
 ow this 6-functor formalism can be used to compute the pro-&eacute\;tale $
 \\mathcal O^\\flat$-cohomology of Drinfeld's upper half space by using an 
 excision sequence. This cohomology appears in a joint "mod p two-towers is
 omorphism" project currently in progress and has applications to the chrom
 atic splitting conjecture.
LOCATION:Seminar Room 1\, Newton Institute
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