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Incidences and Dimers in Projective Geometry - Statistical Mechanics and Discrete Geometry

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Projective Geometry Courses Graph Theory Courses Statistical Mechanics Courses Bipartite Graphs Courses Dimer Model Courses Discrete Geometry Courses

Course Description

Overview

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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)

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