Balint Virag (University of Toronto)

Title: Random plane geometry -- a gentle introduction

Abstract: Consider Z^2, and assign a random length of 1 or 2 to each edge based on independent fair coin tosses. The resulting random geometry, first passage percloation, is conjectured to have a scaling limit.

Most random plane geometric models (including hidden geometries) should have the same scaling limit.

I will explain the basics of the limiting geometry, the "directed landscape", the central object in the class of models named after Kardar, Parisi and Zhang.

(Prix-CRM-Fields-Pims) Random plane geometry -- a gentle introduction

Balint Virag, University of Toronto

Web site : http://crm.umontreal.ca/colloque-sciences-mathematiques-quebec/index.html#csmq