Pierre Van Moerbeke: Statistical fluctuations of tilings near cusps

Date: 2024-10-31

Time: 11:00 - 12:00

Speaker
Pierre Van Moerbeke, UCLouvain

Abstract
Lozenge tilings of convex hexagons typically lead to frozen and liquid regions, separated by smooth “arctic” curves. For nonconvex hexagons this curve may have cusps. What is the statistical behavior of the tilings near these cusps?