**Date & Time:** Wednesday,Apr 3, 2013 at 4.00 p.m.

**Venue:** Ramanujan Hall

**Title:** Finite group actions on Kan complexes

**Speaker:**Dr. Swagata Sarkar, ISI Kolkata

**Abstract:** :In this talk, we discuss simplicial actions of groups on one vertex Kan complexes. We show that every semi-direct product of the fundamental group of a one vertex Kan complex with a finite group can be simplicially realized. If time permits, we will also calculate the homology of the fixed point set of a finite pāgroup action on an one vertex aspherical Kan complex. The talk is based on joint work with Goutam Mukherjee and Debasis Sen.