Lefschetz theorems for dg-categories with applications to matrix factorizations
Presenter
February 12, 2013
Keywords:
- Lefschetz theorem
- matrix factorization
- matrix factorization categories
- DG categories
- complete intersections
- hypersurfaces
- isolated singularities
- noncommutative algebra
- representation theory
- homological algebra
- commutative algebra
- resolutions of modules
MSC:
- 18G35
- 18G10
- 18Gxx
- 16Gxx
- 18-xx
Abstract
I will describe versions of Lefschetz type formulas in the context of dg-categories. I will show an explicit computation of the ingredients of such formulas in the case of the dg-category of matrix factorizations of an isolated hypersurface singularity.