## Purity for the Brauer group

### Mardi 16 janvier 2018 14:15-15:15 - Kestutis Cesnavicius - Orsay

Résumé : 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.

Lieu : IMO Bât. 307, salle 3L15

Purity for the Brauer group  Version PDF
mai 2020 :
 Département de Mathématiques Bâtiment 307 Faculté des Sciences d'Orsay Université Paris-Saclay F-91405 Orsay Cedex Tél. : +33 (0) 1-69-15-79-56 Département Fermeture du département Laboratoire Formation