## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Holomorphic fusion rules in Chern-Simons theory

**Speaker:** Professor Sergiy Koshkin

**Speaker Info:** Northwestern University

**Brief Description:**

**Special Note**:

**Abstract:**

I will describe a class of complex threefold singularities that produce
large N dual pairs. Each pair consists of a 3-manifold and a Calabi-Yau
threefold with conjecturally related Chern-Simons and Gromov-Witten
invariants respectively. The 3-manifolds that occur are of a special kind
(graph manifolds), and their Chern-Simons invariants can be computed using
only fusion rules, a part of the theory that does not involve Drinfeld's
R-matrix. This is fortuitous because as I will explain, the fusion rules
can be modified to produce holomorphic functions that reduce to the
conventional invariants under a specialization of variables. These
functions are expected to generate the Gromov-Witten invariants of the
dual Calabi-Yau threefolds.

**Date:** Thursday, November 29, 2007

**Time:** 4:00pm

**Where:** Lunt 107

**Contact Person:** Prof. Gabriel Kerr

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

**Contact Phone:** 773-936-6405

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