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Article

Noncommutative Geometry

Alain ConnesInstitut des Hautes Études Scientifiques, Bures-Sur-Yvette, FranceJoachim CuntzUniversität Münster, GermanyMarc A. RieffelUniversity of California, Berkeley, USA
2010en
ABI

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.

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Cited by 30 references