# On the representations of categorical groups in Baez-Crans 2-vector spaces

**Date**: Tuesday 7 February 2017, 15:15 – 16:15**Location**: Mathematics Level 8, MALL 1, School of Mathematics**Type**: Algebra, Seminars, Pure Mathematics**Cost**: Free

#### Benjamin Alarcon Heridia, Nova Lisbon University. Part of the algebra seminar series.

In this talk, we review the notions of categorical group, Baez-Crans 2-vector space, and 2-representations of categorical groups. We will study the irreducible and indecomposable 2-representations, and finally we will show that for a finite categorical group G and base field k of characteristic zero, this theory essentially reduces to the representation theory of the first homotopy group of G.

*After each talk at 4:15pm there will be tea/coffee in the Common Room at level 9 in Maths building. The current seminar organiser is Eleonore Faber. *

**Benjamin Alarcon Heridia**, *Nova Lisbon University*