This is an expository talk intended for a general mathematical audience.
What is K-theory and what is it good for?
Apr. 14, 2016 1pm (Math 350)
Noncomm Geometry
Paul Baum (Penn State University)
X
Topics in the lecture are :
#1. Two low-dimensional examples
#2. Dirac Operator
#3. Spin-c manifolds
#4. Proof of the Dirac case
#5. The Dirac case implies the general case
The aim of this expository talk is to give a clear and simple proof of Atiyah-Singer as a corollary of Bott periodicity. It is my intention that this proof should be understandable to graduate students.
ATIYAH-SINGER REVISITED Sponsored by the Meyer Fund