Abstract

Recent times have witnessed remarkable developments in the study and applications of exactly solvable models of statistical mechanics. Just to mention a few: the understanding of the structure of random surfaces and limit shape phenomena; their relation with transport phenomena in inhomogeneous quantum quenches and with stochastic growth processes; the discovery of integrability in gauge fields and strings; the notion of discrete holomorphicity; the emergence of `integrable probability'; the rigorous characterization of Kardar-Parisi-Zhang universality class. Dimer models, the six-vertex model, interacting particle systems, and random matrix theory were instrumental for this progress.
The purpose of this eight weeks program is to bring together theoretical physicists and mathematicians with expertise in low dimensional quantum field theory and statistical mechanics, integrable systems, gauge and string theories, analysis, probability theory, random matrix theory, and combinatorics, to increase cross-fertilization and boost further advances in the field.

Topics
• Limit shape phenomena;
• Random matrices, determinantal processes and KPZ universality class;
• Quantum integrability and correlation functions;
• Integrable quantum dynamics;
• Lattice models and combinatorics;
• Integrability in gauge and string theories.

Organizers
Filippo Colomo (INFN, Florence);
Jan de Gier (The University of Melbourne);
Philippe Di Francesco (University of Illinois, Urbana and CEA, Saclay);
Nicolai Reshetikhin (University of California, Berkeley);
Didina Serban (CEA, Saclay);
Herbert Spohn (Technische Universität München).


Contact
colomo@fi.infn.it