Arctic Curves for Vertex Models

Explore the fascinating world of arctic curves in vertex models through this 58-minute lecture by Philippe Di Francesco from the University of Illinois at Urbana-Champaign. Delve into the arctic phenomenon in two-dimensional integrable lattice models, focusing on the emergence of sharp phase boundaries between ordered crystalline and disordered liquid phases. Discover how the tangent method can be applied to models like the 6 Vertex and 20 Vertex models to predict exact arctic curves. Gain insights into related combinatorial results and their connections to tiling problems in plane domains. Recorded at IPAM's Vertex Models workshop, this talk offers a deep dive into the algebraic and probabilistic aspects of universality in these complex systems.

Philippe Di Francesco - Arctic curves for vertex models - IPAM at UCLA