Purity for the Brauer group

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• Kestutis Cesnavicius (Université Paris-Sud)
• Tuesday 30 January 2018, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jack Thorne.

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 several works of Gabber settles the conjecture except for some cases that concern $p$-torsion Brauer classes in mixed characteristic $(0, p)$. We will discuss an approach to the mixed characteristic case via the tilting equivalence for perfectoid rings.

This talk is part of the Number Theory Seminar series.

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