## EVENT DETAILS AND ABSTRACT

**Algebra Seminar**
**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.

**Date:** Tuesday, March 04, 2003

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Matthew Emerton

**Contact email:** emerton@math.northwestern.edu

**Contact Phone:** 847-491-5544

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