**Date & Time:** Friday, April 15, 2016, 15:30-17:30

**Venue:** Room No. 216

**Title:** the Atiyah Singer Index theorem (lecture II)

**Speaker: **M.S. Raghunathan, IIT Bombay

**Abstract:** In this lecture I will outline a proof of the fact that the
analytic index of an elliptic differential operator depends only on the
K-theoretic symbol of the operator. Next I will discuss the Thom
Isomorphism in K-theory and show that the index theorem for some special
operators implies the theorem in general.