EVENT DETAILS AND ABSTRACT

Title: Orbifold cohomology multiplication in the symplectic case
Speaker: Professor Dmitry Kaledin
Speaker Info: Steklov Institute and ITEP (Moscow)
Brief Description:
Special Note:
Abstract:

Let V/G be the quotient of a vector space V by a finite subgroup G of SL(V). Assume it has a smooth resolution X with trivial canonical bundle. The McKay correspondence (proved by Batyrev and Denef-Loeser) expresses the rational cohomology groups of X purely in terms of the combinatorics of the G-action on V. Recently Chen and Ruan suggested a combinatorial formula which conjecturally describes the multiplication in the rational cohomology ring of X -- in particular, this multiplication, just as the groups themselves, should be the same for all crepant resolutions X. We will prove this formula in the case when V is symplectic, and the group G preserves the symplectic form.