Graded matrix factorizations and complete intersections
Presenter
February 13, 2013
Keywords:
- noncommutative algebra
- representation theory
- homological algebra
- commutative algebra
- resolutions of modules
MSC:
- 18G35
- 18G10
- 18Gxx
- 16Gxx
- 18-xx
Abstract
I will discuss how two theorems of Orlov combine to show that the bounded derived category of a complete intersection ring can be described as the homotopy category of graded matrix factorizations of the "universal hypersurface" of the complete intersection. I will also talk about applications and consequences of this description.