26/02/2015, 11:30 — 12:30 — Room P3.10, Mathematics Building
Saikat Chatterjee, Institut des Hautes Études Scientifiques, France
Twisted actions of categorical groups
We develop a theory of twisted actions of categorical groups using the notion of semidirect product of categories. I will present many examples of semi-direct product of categories. If time permits I will also work-out an example of twisted action involving the Poincaré 2-group. Specializing to the case of representations, where the the category on which categorical group acts has some kind of a vector space structure, we will establish a categorical analogue of Schur's lemma.
This is a joint work with A. Lahiri and A. Sengupta.