Noncommutative Geometry

  • Alain Connes

    Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, France
  • Joachim Cuntz

    Universität Münster, Germany
  • Stefaan Vaes

    Katholieke Universiteit Leuven, Belgium
  • Guoliang Yu

    Texas A&M University, College Station, United States
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Abstract

These reports contain an account of 2015’s meeting on noncommutative geometry. Noncommutative geometry has developed itself over the years to a completely new branch of mathematics shedding light on many other areas as number theory, differential geometry and operator algebras. A connection that was highlighted in particular in this meeting was the connection with the theory of -factors and geometric group theory.

Cite this article

Alain Connes, Joachim Cuntz, Stefaan Vaes, Guoliang Yu, Noncommutative Geometry. Oberwolfach Rep. 12 (2015), no. 2, pp. 1631–1700

DOI 10.4171/OWR/2015/29