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.
Location: MACD 103