PIMS Special Speaker-Index Theory from a Non-Commutative Point of View
Topic
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-commutative
geometry. In this lecture I shall describe a non-commutative-geometric
approach 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.
In fact index theory is a central theme in non-commutative
geometry. In this lecture I shall describe a non-commutative-geometric
approach 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.
Speakers
Additional Information
Location: MACD 103
Time: 3:30-4:30pm
Nigel Higson - http://www.math.psu.edu/higson/
