### Elliptic dimers and genus 1 Harnack curves

Probability Seminar

20th March 2020, 3:30 pm – 4:30 pm

Fry Building, LG.22

We consider the dimer model on a bipartite periodic graph with elliptic weights introduced by Fock. The spectral curves of such models are in bijection with the set of all genus 1 Harnack curves. We prove an explicit and local expression for the two-parameter family of ergodic Gibbs measures and for the slope of the measures. This is work in progress with Cédric Boutillier and David Cimasoni.

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