PIMS Special Speaker-Index Theory from a Non-Commutative Point of View

  • Date: 10/02/2008

Nigel Higson - http://www.math.psu.edu/higson/


University of Victoria


The Atiyah-Singer index theorem, which directs tools from Hilbert space operator theory toward problems in topology and geometry, fits very naturally into the framework of Alain Connes' non-commutative geometry.In fact index theory is a central theme in non-commutativegeometry. In this lecture I shall describe a non-commutative-geometricapproach to the index theorem, due to Connes, as well as a recently proved index theorem for contact manifolds, due to Erik van Erp, that illustrates very well the usefulness of a non-commutative point of view.

Other Information: 

Location: MACD 103

Time: 3:30-4:30pm

Sponsor:  pimsuvic