Speaker
Nicolas Curien
(University Paris-Saclay)
Description
Since the breakthrough works of Le Gall and Miermont, the Brownian sphere has been proved to be the universal limit of many classes of planar map models. One way to escape this paradigm is to consider planar maps models with large degree faces or vertices. We shall survey what we know about the large scale properties of those objects as well as the many questions that remain open at this stage.
Based on joint works with Timothy Budd and with Grégory Miermont and Armand Riera.