Volodymyr Mazorchuk: Introduction to 2 representation theory (Part 3 of 4)

Please note: Unfortunately the first part of the talk-series is not available due to technical issues.

The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory.

The aim of this series of lectures is to introduce the audience to the general area of 2-representation theory of finitary 2-categories. The main emphasis will be made on structural properties of finitary 2-categories and study of classification problems of various classes of 2- representations, in particular, that of simple transitive 2-representations. Both less advanced and more advanced methods will be discussed. The 2-category of projective bimodules over a finite dimensional algebra will be used as a running example.