Document Type
Article
Date
8-19-2011
Disciplines
Mathematics
Description/Abstract
Non-commutative crepant resolutions are algebraic objects defined by Van den Bergh to realize an equivalence of derived categories in birational geometry. They are motivated by tilting theory, the McKay correspondence, and the minimal model program, and have applications to string theory and representation theory. In this expository article I situate Van den Bergh's definition within these contexts and describe some of the current research in the area.
Recommended Citation
Leuschke, Graham J., "Non-Commutative Crepant Resolutions: Scenes from Categorical Geometry" (2011). Mathematics - All Scholarship. 40.
https://surface.syr.edu/mat/40
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1103.5380