Algebraic Geometry Seminar

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Recent advances in the period-index problem

Speaker: Asher Auel, Dartmouth College

Location: Warren Weaver Hall 512

Date: Tuesday, December 12, 2023, 3:30 p.m.

Synopsis:

There have been some important recent advances in the period-index problem for the Brauer group of a variety. After reviewing the period-index problem, I will explain the argument in a very recent preprint by Huybrechts and Mattei that proves a finite period-index bound for unramified classes.  This gives a positive answer to a question motivated by recent work of Hotchkiss, de Jong, and Perry on a Hodge-theoretic approach to the period-index problem.