Noncommutative Geometry

Abstract

Many of the various aspects of Noncommutative Geometry were represented in the talks. This includes in particular index theory on foliated spaces, a number of results on spectral triples, noncommutative manifolds and deformation theory, Hopf cyclic theory and K-theoretic and L2 - invariants attached to certain classes of groups. The connections to physics were covered in three talks on quantum field theory on noncommutative spaces such as the Moyal plane, one of the talks giving an attractive survey of the results and techniques in that domain.