Dimers and Integrability

Joint IAS-PU Symplectic Geometry Seminar
Topic:Dimers and Integrability
Speaker:Richard Kenyon
Affiliation:Brown University
Date:Friday, March 29
Time/Room:1:30pm - 2:30pm/S-101

This is joint work with A. B. Goncharov. To any convex integer polygon we associate a Poisson variety, which is essentially the moduli space of connections on line bundles on (certain) bipartite graphs on a torus. There is an underlying integrable Hamiltonian system whose Hamiltonians are weighted sums of dimer covers.