Title: Categorical resolutions of cuspidal singularities
Speaker: Céline Fietz
Abstract: In this talk I will explain that there exists a particularly small (“crepant”) categorical resolution of the derived category of a projective variety with an isolated A_2/cuspidal singularity.
More importantly, one can describe generators of its kernel in a very explicit way: in the case of an even dimensional variety with an isolated A_2 singularity, the kernel can be generated by two 2-spherical objects, which are related to spinor sheaves on a nodal quadric and induce autoequivalences on the categorical resolution.
Some snacks will be provided before and after the talk.