Thu, 15 Nov 2012
14:00 -
15:00
L3
Triangulated defect categories
David Jorgensen
(Texas at Arlington)
Abstract
We will define certain Verdier quotients of the singularity category of a ring R, called defect categories. The triviality of these defect
categories determine, for example, whether a commutative local ring is Gorenstein, or a complete intersection. The dimension (in the sense of Rouquier) of the defect category thus gives a measure of how close such a ring is to being Gorenstein, respectively, a complete intersection. Examples will be given. This is based on joint work with Petter Bergh and Steffen Oppermann.