# Atiyah-Singer Index Seminar

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Thu., Oct. 8, 2015 10:00 a.m.
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Location: RIC 215
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**Speaker:**Asghar GhorbanpourAn overview of Index Theory**Title:****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.