Incidences and Dimers in Projective Geometry - Statistical Mechanics and Discrete Geometry
Explore a 48-minute lecture on "Incidences and dimers" presented by Anton Izosimov from the University of Arizona at IPAM's Statistical Mechanics and Discrete Geometry Workshop. Delve into the connection between linear incidence theorems in projective geometry and bipartite graphs on surfaces, as introduced in Fomin's talk. Discover how incorporating Goncharov-Kenyon-type dimer model dynamics into this framework leads to "dynamical" linear incidence theorems. Gain insights into joint research with Pavlo Pylyavskyy, bridging concepts from projective geometry, graph theory, and statistical mechanics. Recorded on March 26, 2024, this talk offers a deep dive into advanced mathematical concepts at the intersection of discrete geometry and statistical mechanics.