Geometry/Physics Seminar

Title: The Hitchin System, the Airy Equation, the Trefoil, and a Cluster Variety
Speaker: Eric Zaslow
Speaker Info: Northwestern University
Brief Description:
Special Note:

I will try to connect some of the topics in the title through a concrete example, the trefoil. This knot represents the link-at-infinity of a curve given as y^2 = cubic polynomial in x. When that curve appears as the spectral curve in a Hitchin system on the complex plane, the growth rate of the associated flat sections near infinity is encoded by a related knot. This data feeds into the construction of various moduli spaces, all isomorphic and equal to the A_2 cluster variety. The cluster structure can be understood from the various perspectives.

This talk represents a collection of observations, not all new and too loose to be considered "work in progress." They have emerged from discussions with Vivek Shende, David Treumann, Andy Neitzke and Linhui Shen.

Date: Thursday, October 9, 2014
Time: 4:00pm
Where: Lunt 107
Contact Person: Michael Couch
Contact email: mcouch@math.northwestern.edu
Contact Phone:
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