Videos

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.