Random Plane Geometry - A Gentle Introduction

Explore the fascinating world of random plane geometry in this 52-minute lecture by Bálint Virág from the University of Toronto. Delve into the concept of first passage percolation, starting with a simple model on Z^2 where edge lengths are randomly assigned 1 or 2 based on fair coin tosses. Discover the conjectured scaling limit of this model and its potential universality across various random plane geometric models. Learn about the "directed landscape," the central object in Kardar-Parisi-Zhang universality class, and gain insights into its fundamental properties. This talk, part of the Colloque des sciences mathématiques du Québec, offers a gentle introduction to this complex topic, making it accessible to those interested in mathematical sciences and random geometry.