Noncommutative Geometry Seminar

We will explain how to apply the framework of noncommutative
geometry in the setting of conformal geometry. We plan to describe three
main results. The first result is a reformulation of the local index
formula of Atiyah-Singer in conformal geometry, i.e., in the setting of
the action of a group of conformal-diffeomorphisms. The second result is
the construction of new conformal invariants out of equivariant
characteristic classes. The third result is a version in conformal
geometry of the Vafa-Witten inequality for eigenvalues of Dirac operators.
This is joint work with Hang Wang (University of Adelaide).