Geometry/Physics Seminar

Title: Integrable Systems and Canonical Bases
Speaker: Harold Williams
Speaker Info: UC Berkeley
Brief Description:
Special Note:

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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