Michel Van den Bergh (Limburgs Universitair Centrum)

Non-commutative crepant resolutions

We introduce the notion of a "non-commutative crepant resolution" of a Gorenstein singularity and show that it exists in some cases. We also state, and give some evidence, for a generalization of a conjecture by Bondal and Orlov concerning the derived category of different crepant resolutions.