**Date & Time:** Monday, January 11, 2010, 15:30-16:30

**Venue:** Ramanujan Hall

**Title:** Cohomology Theory for Topological Groups

**Speaker:** Arati Khairnar, TIFR Mumbai

**Abstract:** We define an explicit cohomology theory for topological groups based on locally continuous measurable cochains. We study its functorial properties and explore its relationship with other explicit cohomology theories.

We apply the theory to the case of connected Lie groups and certain modules and see that extension of a connected Lie group by coefficient modules of certain kind are connected Lie groups.