Noncommutative Geometry
Alain Connes
Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, FranceJoachim Cuntz
Universität Münster, GermanyMarc A. Rieffel
University of California, Berkeley, USA
Abstract
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
Alain Connes, Joachim Cuntz, Marc A. Rieffel, Noncommutative Geometry. Oberwolfach Rep. 6 (2009), no. 3, pp. 2271–2334
DOI 10.4171/OWR/2009/41