Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

On the Higher-Rank Dimer Model

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

Explore a 51-minute conference talk by Richard Kenyon of Yale University on the higher-rank dimer model, presented at IPAM's Vertex Models workshop. Delve into the definition of a Kasteleyn operator on a planar bipartite graph with a GL(n) local system and discover how its determinant counts traces of "n-multiwebs," generalizing dimer configurations. Examine the computation of connection probabilities in the scaling limit for SL(3) and their conformal invariance. Gain insights from this joint work with Dan Douglas and Haolin Shi, expanding your understanding of algebraic and probabilistic aspects of universality in vertex models.

Syllabus

Richard Kenyon - On the higher-rank dimer model - IPAM at UCLA

Taught by

Institute for Pure & Applied Mathematics (IPAM)

Reviews

Start your review of On the Higher-Rank Dimer Model

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.