# Master seminar Brauer Groups

**Program**: Seminar program Brauer Groups

**Date & time:** Tuesday 14-16

**First session:** October 12, 2021

**Place:** WSC-S-U-3.02 or online

**Moodle:** There is an electronic classroom for the seminar on the moodle platform. Read backward, the enrolment key needed to subscribe is

22/12SWspuorGreuarB

**Prerequisites:** For parts 1. and 2. it is sufficient to have a solid background in algebra. For parts 3. and 4. some prior knowledge of number theory is helpful. Parts 5. and 6. require some prior knowledge of algebraic geometry.

**Credits:** 9 ECTS for two talks

**Content: **The Brauer group classifies the finite dimensional central simple algebras over a field up to equivalence. In many examples, its computation constitutes a non-trivial problem with important applications to number theory and algebraic geometry. The seminar covers the algebraic theory of central simple algebras, the cohomological description of the Brauer group, the Brauer group of local and global fields, Brauer-Severi varieties, and Brauer groups of schemes.

**Registration:** If you wish to give a talk please send me an email and enrol in the electronic classroom. Please indicate possible preferences concerning the talks. The final schedule will be published on moodle in September.