Noncommutative crepant resolutions, an overview

  • Michel Van den Bergh

    Free University of Brussels, Pleinlaan 2, 1050 Brussel, Belgium, and Hasselt University, Martelarenlaan 42, 3500 Hasselt, Belgium, and Research Foundation – Flanders, Egmontstraat 5, 1000 Brussel, Belgium
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Abstract

Noncommutative crepant resolutions (NCCRs) are noncommutative analogues of the usual crepant resolutions that appear in algebraic geometry. In this paper we survey some results around NCCRs.