HYBRID WORKSHOP
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Directed Polymers and Folding
Polymères dirigés et pliage

6 – 10 September 2021

The focus of this workshop will be on directed polymers and related models in random environments. Though the notion of folding requires an appropriate interpretation in the strictly directed case, it finds a natural framework in ballistic or stretched polymers. All these models are closely related to many other important models in statistical physics and in biological population dynamics, such as interacting particle systems, percolation, randomly growing surfaces and branching random walks. From a mathematical point of view, these models raise many questions, for instance the socalled KPZ universality class when the space dimension is one, the critical regime in the high dimensional case. Recent results on weak KPZ universality open new perspective for approaching the main questions. The goal of the workshop is to bring together researchers working on this topic to share ideas and techniques, around two minicourses and several talks given by experts in the field.

Mini-courses :

Frank den Hollander (Leiden University)  Large deviations for the Wiener Sausage
Rongfeng Sun (University of Singapoure)   Scaling limit of the directed polymer and SHE in dimension 2+1

Speakers :

Francesco Caravenna (University of Milano-Bicocca)   Gaussian limits for subcritical chaos
Alessandra Cipriani (TU Delft)  The discrete membrane model on trees
Clément Cosco (Weizmann Institute of Science)  Maximum of the polymer partition function in dimension 1+2 in the subcritical regime
Laure Dumaz (ENS Paris)   Localization of the continuous Anderson hamiltonian in 1-d and its transition towards delocalization
Hubert Lacoin (IMPA, Rio)   Existence of solution and localization for the SHE with multiplicative Lévy white noise
Dimitris Lygkonis (University of Warwick)    Moments of the 2d directed polymer and collisions of planar random walks
Chiranjib Mukherjee (WWU Münster)   Gibbs measures with space-time singularities
Shuta Nakajima (University of Basel)  The fluctuations in the L2 region for the KPZ equation in dimension three and higher
Niccolò Torri (Université Paris Nanterre)   Non-directed polymers in heavy-tail random environment