Incidences and dimers

Anton Izosimov
University of Arizona

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.

Back to Workshop I: Statistical Mechanics and Discrete Geometry