Colloquium du CEREMADE

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Intervenant : CARAVENNA Francesco (University of Milano-Bicocca)
Titre :
The 2D Stochastic Heat Equation and related critical models

Le : 03/02/2026 de : 15:30 à : 16:30
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.
Salle : A709