EVENT DETAILS AND ABSTRACT

Title: Mckay equivalence for symplectic quotient singularities.
Speaker: Professor Dmitry Kaledin
Speaker Info: Steklov Institute
Brief Description:
Special Note:
Abstract:

I will talk about a recent joint work with R. Bezrukavnikov, where we construct a McKay-type equivalence of derived categories for crepant resolutions of symplectic quotient singularities. For Calabi-Yau quotient singularities in dim 3, such an equivalence has been constructed by Bridgeland-King-Reid. We need a complex symplectic form in addition to a volume form, but we work in arbitrary dimension; the method uses deformation quantization and reducton to characteristic p.