Lectures on Noncommutative Resolutions
arXiv:1210.2564
Abstract
These lecture notes are an expanded write-up of my short lecture series "Noncommutative Resolutions" given to the MSRI Graduate Student Workshop "Noncommutative Algebraic Geometry" during June 2012. The notes include five chapters, an appendix on quivers, exercises and sketch solutions. The accompanying video lectures can be found at http://www.msri.org/web/msri/scientific/workshops/show/-/event/Wm9213
Some material added, especially to Section 5, and other minor changes. 58 pages
References in corpus (6)
- Calabi-Yau algebras
- Quiver representations in toric geometry
- Reduction of triangulated categories and Maximal Modification Algebras for cA_n singularities
- Tilting and cluster tilting for quotient singularities
- Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras
- On the Noncommutative Bondal-Orlov Conjecture
Cited by in corpus (9)
- F-theory on singular spaces
- Relative singularity categories I: Auslander resolutions
- Non-commutative resolutions of quotient singularities
- Holography, Matrix Factorizations and K-stability
- Topological Strings on Non-Commutative Resolutions
- Gorenstein modifications and -Gorenstein rings
- Skew group categories, algebras associated to Cartan matrices and folding of root lattices
- Classification of contraction algebras and pre-Lie algebras associated to braces and trusses
- Perverse schobers on Riemann surfaces: constructions and examples