Gustavo Jasso (Bonn), An introduction to tau-tilting theory I and II.

Abstract:

The class of tau-tilting modules over a finite dimensional algebra was introduced by Adachi-Iyama-Reiten in order to complete that of tilting modules from the point of view of mutation combinatorics. Although this class has been extended recently by Angeleri Hügel-Marks-Vitória to arbitrary rings under the name of silting modules, our aim in this series of talks is to give a survey of known results in the context of finite dimensional algebras. No familiarity with tau-tilting theory will be assumed.