Oberwolfach Reports

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Volume 12, Issue 2, 2015, pp. 1631–1700
DOI: 10.4171/OWR/2015/29

Published online: 2016-02-15

Noncommutative Geometry

Alain Connes[1], Joachim Cuntz[2], Stefaan Vaes[3] and Guoliang Yu[4]

(1) Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, France
(2) Universität Münster, Germany
(3) Katholieke Universiteit Leuven, Belgium
(4) Texas A&M University, College Station, United States

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 $II_1$-factors and geometric group theory.

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Connes Alain, Cuntz Joachim, Vaes Stefaan, Yu Guoliang: Noncommutative Geometry. Oberwolfach Rep. 12 (2015), 1631-1700. doi: 10.4171/OWR/2015/29