Colloquium du Ceremade (Francesco Caravenna, mardi 3 février 2026)

Le prochain Colloquium du Ceremade est prévu le mardi 3 février à 15h30 en salle A709 avec l'intervention de Francesco Caravenna (University of Milano-Bicocca) sur le sujet suivant :

The 2D Stochastic Heat Equation and related critical models

Abstract 
We present recent progress on a class of "critical" models in two space dimensions, including the Stochastic Heat Equation, the Kardar-Parisi-Zhang (KPZ) equation and a key model in statistical mechanics: the directed polymer in random environment. These developments have led to the construction of a new universal object, the critical 2D Stochastic Heat Flow, which provides a non-trivial solution for the ill-posed 2D Stochastic Heat Equation. The aim of the talk is to give a broad overview of these topics and to highlight some of the key ideas that have driven recent breakthroughs in the field.