The scaling limit of random planar maps with large faces
Talk by Prof. Dr. Armand Riera
Speaker invited by: Prof. Dr. Jean Bertoin
Date: 02.04.25 Time: 17.15 - 18.45 Room: Y27H12
In this talk, we consider large Boltzmann stable planar maps with index $\alpha\in(1,2)$. In recent joint work with Nicolas Curien and Grégory Miermont, we established that this model converges, in the scaling limit, to a random compact metric space that we construct explicitly. The goal of this presentation is to outline the main steps of our proof. We will also discuss various properties of the scaling limit, including its topology and geodesic structure.