Categorical Crepant Resolutions of Higher Dimensional Simple Singularities

Speaker: Yujiro Kawamata

Date: Tue, Jul 7, 2009

Location: University of New South Wales, Sydney, Australia

Conference: 1st PRIMA Congress

Subject: Mathematics

Class: Scientific


Simple singularities in dimension 2 have crepant resolutions and satisfy the McKay correspondence. But higher dimensional generalizations do not. We propose the categorical crepant resolutions of such singularities in the sense that the Serre functors act as fractional shifts on the added objects.