Purity for the Brauer Group
主 题: Purity for the Brauer Group
报告人: Kęstutis Česnavičius (CNRS and Paris-Sud)
时 间: 2018-07-16 15:00 - 2018-07-16 16:30
地 点: Room 78201, Jingchunyuan 78, BICMR
Abstract: 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 at least 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.\n
