Title of Seminar: Random Geometry Seminar 2025
Title of Talk: Generalized Gibbs ensembles of the Calogero fluid
Speaker: Herbert Spohn, Technical University Munich
Date: November 22, 2022
Time: 23:30:00 Hours
Venue: via Zoom

Abstract: Over recent years there have been widespread activities to understand the hydrodynamic scale of integrable many-body systems. Since such systems have an extensive number of local conservation laws, the standard notion of Gibbs measures has to be extended so to include this very special feature. The Calogero fluid are classical particles in one dimension which interact through the pair potential $1/(\sinh)$ squared. I will explain how the transformation to scattering coordinates relates to the free energy of generalized Gibbs measures.