Statistical Physics and Random Surfaces

Abstract

This conference featured a diverse group of participants, from various career stages, to study problems in several hot topics that have grown increasingly prominent and interrelated in recent years. These included the following: (1) random surface models (Liouville quantum gravity, random planar maps, etc.) (2) random curve models (Schramm–Loewner evolution, conformal loop ensembles, etc.) (3) gauge theory models (various forms of lattice Yang–Mills, other approximations) (4) spin models and height functions (including delocalization problems) (5) dimer models (two and higher dimensions versions) (6) conformal field theory (Liouville theory, other theories related to SLE) The conference enabled participants to communicate about the most recent break-throughs and lay the groundwork for further collaborative progress.