On the Higher-Rank Dimer Model

On the Higher-Rank Dimer Model

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.