Scaling Limits of Random Trees and Surfaces

The aim of this talk is to provide an overview of some of the main results concerning scaling limits of random compact metric spaces, with a particular emphasis on random trees and random surfaces. We will focus especially on the geometric aspects of the theory. In this context, we will outline the main ideas behind the convergence of large random planar maps with large faces, obtained in recent joint work with Nicolas Curien (Orsay) and Grégory Miermont (ENS Lyon).

No specific prerequisites are required for this talk.