Many of the diﬀerent aspects of Noncommutative Geometry were represented in the talks. The list of topics that were covered includes in particular new insight into the geometry of a noncommutative torus, local index formulae in various situations, C*-algebras and dynamical systems associated with number theoretic structures, new methods in K-theory for noncommutative algebras as well as new progress in quantum ﬁeld theory using concepts from noncommutative geometry.
Cite this article
Joachim Cuntz, Alain Connes, Marc A. Rieffel, Noncommutative Geometry. Oberwolfach Rep. 6 (2009), no. 3, pp. 2271–2334DOI 10.4171/OWR/2009/41