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.