Atiyah-Singer Index Seminar

Thu., Oct. 8, 2015 10:00 a.m.

Location: RIC 215

Speaker: Asghar Ghorbanpour
Title: An overview of Index Theory
Abstract:
The Atiyah-Singer index theorem is in the very heart of the
modern mathematics and physics. It was proved by Michael
Atiyah and Isadore Singer at 1963 and was quickly transformed
to a vast research area; different proofs, among which one can
mention the heat kernel proof, were presented and different
new theories were developed and many applications in both
mathematics and physics were discovered. The theorem
provides a formula for the (Fredholm) index of elliptic operators
in terms of topological invariants of the manifolds and vector
bundles.

As S. S. Chern once said “Even there is no research results,
it is worthwhile to study the Atiyah-Singer index theorem”.
This series of learning seminar will be an introduction to
index theory and the related topics from which graduate students
from different fields can benefit.