## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Integrable hierarchies and singularity theory

**Speaker:** Professor Yongbin Ruan

**Speaker Info:** University of Michigan

**Brief Description:**

**Special Note**:

**Abstract:**

Almost twenty years ago, Kontsevich proved
an amazing theorem (conjectured by Witten) that the
intersection theory of Deligne-Mumford moduli space
of curves is governed by KDV-hierarchy. In many ways,
this is a mysterious theorem that we don't really
understand why it should be true. In the talk, I
will described a generalization (again conjectured by
Witten). It will take us into the context of integrable
hierarchies, Kac-Moody algebra and singularity theory.
Now, we understand that Witten-Kontsevich theorem is
just a special case of larger correspondence between
representation theory and singularities.

**Date:** Thursday, October 23, 2008

**Time:** 4:10pm

**Where:** Lunt 107

**Contact Person:** Prof. Gabriel Kerr

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

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

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