The McKay Correspondence for anti-canonically embedded Fano Varieties
Presenter
April 11, 2013
Keywords:
- Fano manifold
- Cohen-Macaulay modules
- noncommitative generalization of McKay correspondence
- noncommutative algebra
- noncommutative algebraic geometry
- representation theory
- D-module
- deformation quantization
MSC:
- 16Gxx
- 14-xx
- 14Fxx
- 14F10
- 81-xx
- 81Rxx
- 81R50
- 81R60
- 81Sxx
- 81S10
Abstract
This is joint work in progress with Lutz Hille. We apply recent results by Amiot-Iyama-Reiten, Herschend-Iyama-Oppermann and Minamoto-I.Mori to describe the category of (graded) Maximal Cohen-Macaulay Modules on cones over the anticanonical embedding of a Fano variety with a (leveled) tilting object as a noncommutative version of the classical McKay correspondence for Kleinian singularities.