Séminaire Analyse-Proba (Antoine Jego, mardi 11 mars)

18 février 25

Le prochain séminaire Analyse-Proba aura lieu mardi 11 mars à 10h30 en Amphi 1. Antoine Jego (CEREMADE) nous parlera de :


Integration by parts in random conformal geometry

Abstract
Random objects satisfying a conformal invariance property naturally appear from the scaling limit of critical models of statistical mechanics. Examples include Schramm—Loewner Evolutions (SLE), the Gaussian free field (GFF), or even more classically, planar Brownian motion. In this talk, I will present our new approach to random conformal geometry based on the derivation of integration by parts formulas. I will in particular focus on two applications: our proof of the Kontsevich—Suhov conjecture and our new approach to random conformal weldings (Sheffield’s celebrated quantum zipper).
Based on joint works with Guillaume Baverez.