# Volodymyr Mazorchuk: H-cell reduction for 2-representations of fiat 2-categories

**Time: **
Wed 2019-05-29 13.15 - 15.00

**Location: **
Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University

**Participating: **
Volodymyr Mazorchuk (Uppsala)

Abstract: A classical results (by Munn and Ponizovski) from representation theory of semigroups reduces classifcation of simple modules over a semigroup to classification of simple modules over its maximal subgroups. In this talk I plan to present an analogue of this result for simple transitive 2-representations of fiat 2-categories.

This is a report on a joint work with Marco Mackaay, Vanessa Miemietz and Xiaoting Zhang.