## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Integrable Systems and Canonical Bases

**Speaker:** Harold Williams

**Speaker Info:** UC Berkeley

**Brief Description:**

**Special Note**:

**Abstract:**

We argue that the Hamiltonians of certain Toda-type integrable systems should be understood as elements of a generalized canonical basis. To make this precise, we will describe a Jacobian algebra associated with the Poisson structure on a simple Lie group, and explain how the computation of characters of Lie group representations can then be mapped in a nontrivial way onto the computation of quiver grassmannians associated with this algebra. After working some examples of this correspondence, we'll explain how this result fits into a broader context motivated by 4d N=2 field theory, irregular Hitchin systems, and the theory of cluster algebras.

**Date:** Thursday, March 06, 2014

**Time:** 4:00pm

**Where:** Lunt 107

**Contact Person:** Michael Couch

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

**Contact Phone:**

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