Videos

Anton Izosimov - Incidences and dimers - IPAM at UCLA

Presenter
March 26, 2024
Abstract
Recorded 26 March 2024. Anton Izosimov of the University of Arizona presents "Incidences and dimers" at IPAM's Statistical Mechanics and Discrete Geometry Workshop. Abstract: 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. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-statistical-mechanics-and-discrete-geometry/