Incidences and Dimers in Projective Geometry - Statistical Mechanics and Discrete Geometry
Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube
Course Description
Overview
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.
Syllabus
Anton Izosimov - Incidences and dimers - IPAM at UCLA
Taught by
Institute for Pure & Applied Mathematics (IPAM)
Related Courses
Intermediate Network Analysis in PythonDataCamp Discriminative Prototype Selection for Graph Embedding
University of Central Florida via YouTube Canonical Structures Inside Platonic Solids II - Universal Hyperbolic Geometry
Insights into Mathematics via YouTube Stability and Combinatorics in Pure Model Theory - Lecture 11
Fields Institute via YouTube More on Graphs and Euler's Formula in Algebraic Topology - Lecture 10
Insights into Mathematics via YouTube