KK-theory in geometry and physics

Document Type

Presentation Abstract

Presentation Date

10-1-2018

Abstract

Kasparov's KK-theory is a bivariant homology theory for C*-algebras providing a general framework for index theory. Cycles for the theory come from the abstract analogue of a first-order differential operator. I will provide an exposition of the theory for non-specialists, based on the Atiyah-Singer index theorem. If time permits I will discuss applications to number theory and physics.

Additional Details

Monday, October 1, 2018 at 3:00 p.m. in Math 103
Refreshments at 4:00 p.m. in Math Lounge 109

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