Residue homomorphisms and examples of Brauer groups

Abstract: Topics: Residue homomorphisms; purity; examples of Brauer groups of schemes.

References: Poonen, Rational points on varieties, Sections 6.8-6.9; Colliot-Thélène and Skorobogatov, The Brauer-Grothendieck group, Section 3.7.

algebraic geometrynumber theory

Audience: advanced learners

STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Spring 2024 topic: The contents of Serre, Lectures on the Mordell-Weil theorem

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.