Date/heure
18 décembre 2025
09:15 - 10:15
Lieu
Salle de conférences Nancy
Oratrice ou orateur
William Da Silva
Catégorie d'évènement Séminaire Probabilités et Statistique
Résumé
In a landmark paper, Scott Sheffield introduced a famous bijection, called the « hamburger-cheeseburger » bijection, to encode a certain model of random planar maps as a certain queue model in a kitchen selling hamburgers and cheeseburgers. Under this correspondence, natural geometric observables have a nice « burger » interpretation, for which Sheffield established scaling limit results. These scaling limits exhibit a phase transition in a special regime where the maps are believed to be « critical ». The goal of this talk is to present the analogue of these scaling limit results in the critical case, which can be thought of as the first convergence result of planar maps in the universality class of critical Liouville quantum gravity, in the so-called peanosphere sense. The talk is based on joint work with Xingjian Hu, Ellen Powell and Mo Dick Wong.