As will be explained in Fomin's talk, multiple linear incidence theorems in projective geometry (such as the theorems of Desargues, Pappus, etc.) can be viewed as instances of a single statement about bipartite graphs on surfaces. We incorporate Goncharov-Kenyon-type dimer model dynamics into this framework, and show how this leads to "dynamical" linear incidence theorems. This is joint work with Pavlo Pylyavskyy.
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