**Date & Time:** Thursday, July 26, 2012 at 4 pm

**Venue:** Ramanujan Hall

**Title:** "Computational and Analytic aspects of Chern-Weil theory "

**Speaker:** Prof. Vamsi Pritham Pingali

**Abstract:**
Vector bundles over manifolds are ubiquitous in geometry and topology.
To study them, Cohomological invariants called Characteristic classes
were invented. We shall take the Chern-Weil approach to them and
explain how to compute the explicit representatives of these objects
for some cases and illustrate a small application or two. Also,
time-permitting, we shall delve into an analytic aspect which gives us
interesting PDE to study.