Maximal Cohen-Macaulay modules and generalised cluster categories
Presenter
February 11, 2013
Keywords:
- Cohen-Macaulay modules
- cluster categories
- Auslander-Reiten theory
- triangulated category
- Gorenstein rings
- noncommutative algebra
- representation theory
- homological algebra
- commutative algebra
- resolutions of modules
MSC:
- 16G70
- 16G60
- 16G50
- 16G10
- 16Gxx
- 18-xx
- 18Gxx
- 18G10
- 18G35
- 11E81
Abstract
This talk is based on work with Amiot and Iyama. Based on work of Auslander some stable categories of maximal Cohen-Macaulay modules over Gorenstein rings are 2-Calabi-Yau triangulated categories. We discuss sufficient conditions for these categories to be triangle equivalent to generalized cluster categories associated with algebras of global dimension at most two.