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SUMMARY:Purity for the Brauer group - Kestutis Cesnavicius (Université Pa
 ris-Sud)
DTSTART:20180130T143000Z
DTEND:20180130T153000Z
UID:TALK97150@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:A purity conjecture due to Grothendieck and Auslander--Goldman
  predicts that the Brauer group of a regular scheme does not change after 
 removing a closed subscheme of codimension $\\ge 2$. The combination of se
 veral works of Gabber settles the conjecture except for some cases that co
 ncern $p$-torsion Brauer classes in mixed characteristic $(0\, p)$. We wil
 l discuss an approach to the mixed characteristic case via the tilting equ
 ivalence for perfectoid rings.
LOCATION:MR13
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