Title: Spectral sequence 
Speaker: Bittu Singh. 
Abstract: we'll see how exact couple appear. Then discuss few properties. How
spectral sequence stabilizes under some minor hypothesis. Then using serrey's
spectral sequence we'll compute homology group of some spaces.

Speaker: Eric Urban, Columbia University

Host: Dipendra Prasad

Title: Congruences and modular forms

Abstract: The observation that there exist congruences between modular forms go back to the early works of Ramanujan. I will describe some aspect of the implications of their existence in arithmetic. Prof Urban is among leading number theorists in the world, in particular on Iwasawa theory, and the main conjectures.