Colloquium: Duncan Dauvergne (University of Toronto)

3:00–4:20 pm Eckhart Hall, Room 202

Random Planar Geometry and the Directed Landscape


Consider the lattice Z^2, and assign length 1 or 2 to every edge by flipping a series of independent fair coins. This gives a random weighted graph, and looking at distances in this graph gives a random planar metric. This model, along with most natural models of random planar metrics and random interface growth (the so-called `KPZ universality class'), is expected to converge to a universal scaling limit: the directed landscape. The goal of this talk is to introduce this object, describe some of its properties, and describe at least one model where we can actually prove convergence.

Event Type


Oct 4