The Brauer group of commutative rings

Time: 14:00-15:45, 26/02/2026 (Thursday)

Venue: Room 612, A6, Institute of Mathematics-VAST

Online (Join Zoom Meeting) link: https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

Abstract: The Brauer group was generalized from fields to commutative rings by Auslander and
Goldman. Theorem 7.4 of [AG60] gives a local-global description of this group over regular rings of dimension 2. The authors asked for a general result. This talk presents an introduction to separable algebras and Brauer group over a commutative ring with emphasis on the purity results for regular rings of dimension 2.

Reference:
[AG60] Auslander and Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409.