turkmath.org

A classic result of Buchweitz shows that the singularity category of a Gorenstein local ring A is triangulated equivalent to the stable category of finitely generated Gorenstein projective A-modules and to the homotopy category of totally acyclic complexes of finitely generated projective A-modules. In this talk we present a non-affine version of this result. To achieve this we will define a "big" version of Orlov´s singularity category.The talk is based on a project developed with Lars Christensen (Texas Tech University) and Peder Thompson (Norwegian University of Science and Technology).