**Date & Time:** Friday, January 23, 2009, 17:00-18:30.

**Venue:** Ramanujan Hall

**Title:** Abstract Homotopy Theory

**Speaker:** Debasis Sen, ISI Kolkota

**Abstract:** We will introduce the notion of homotopy in some abstract category satisfying some simple axioms. Then we will show that this homotopy is an equivalence relation and prove a version of Whitehead theorem in this abstract setting. The known homotopy theory of topological spaces, chain complexes, simplicial sets will be a particular case of this abstract definition.