Date & Time: Thursday, January 22, 2009, 16:00-17:30.
Venue: Ramanujan Hall

Title: Generalised Eilenberg-Maclane Complex and Classification of Cohomology with Local Coeffiecients

Speaker: Gautam Mukherjee, ISI Kolkota

Abstract: It is well known that ordinary Eilenberg-MacLane complexes classify cohomology with constant coefficients. Generalised Eilenberg-MacLane complexes appeared in the work of Gliter and Baues as a total space of a Kan fibration. It has two nontrivial homotopy groups. We give a constructuion of generalised Eilenberg-MacLane complexes and explain its role in classifying cohomology with local coefficients.