Dimers and Integrability

Dimers and Integrability

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Richard Kenyon, Brown University
IAS - Simonyi Hall Seminar Room SH-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.