Exact Hydrodynamics of Integrable systems: mathematics and physics

This conference is supported by PSL Statistical Physics and Mathematics Program- SP(A)M! and Institut Universitaire de France - IUF

9th and 10th of March
Université Paris Dauphine-PSL

 

Integrable systems are a cornerstone of our understanding of transport and emergent statistical mechanics in strongly interacting models. Their remarkable amenability to exact methods and rigorous analysis has fascinated physicists and mathematicians for decades, leading to major recent advances in their large-scale hydrodynamics, now largely known as ``Generalized Hydrodynamics". Yet, despite substantial progress on both fronts, the mathematical and physics communities have largely advanced along parallel but only loosely connected paths.

This focused workshop aims to bring together researchers from both disciplines to foster genuine cross-fertilization through intensive, thematically organized sessions. The program will feature pedagogical lectures by leading experts from mathematics and physics, alongside research talks and dedicated discussion periods designed to stimulate collaboration and deepen shared understanding.
 

Speakers

  • Jacopo De Nardis (Cergy Paris Université)
  • Abhishek Dhar (Tata Institute Of Fundamental Research)
  • Benjamin Doyon (King's College London)
  • Gennady El (Northumbria University)
  • Pablo Ferrari (Universidad de Buenos Aires)
  • Tamara Grava (University of Bristol)
  • Alice Guionnet (ENS de Lyon)
  • Katja Klobas (University of Birmingham)
  • Makiko Sasada (Université de Tokyo)
  • Herbert Spohn (Université technique de Munich)
  • Pierre Suret (Université de Lille)
  • Takato Yoshimura (King's College London)


Registration is closed.
 

PROGRAM

Monday, 9 March

09:00 - 09:15   Welcome and opening remarks

09:15 - 10:30   Generalized hydrodynamics of the Toda fluid
                        Herbert Spohn (Université technique de Munich)

10:30 - 11:00   Break and discussion

11:00 - 12:15   Large deviations of the periodic Toda chain
                        Alice Guionnet (ENS de Lyon)

12:30 - 14:00  Lunch 

14:00 - 15:15  Quasiparticle dynamics in the hard rod gas and the
                      Toda chain 
                       Abhishek Dhar (Tata Institute Of Fundamental Research)

15:15 - 16:00  Break and discussion

16:00 - 16:30  Initial distributions for hard rod hydrodynamics
                       Pablo Ferrari (Universidad de Buenos Aires) 

16:30 - 17:00  Anomalous and KPZ spin dynamics in integrable
                      spin chains from a hard rods gas
                       Jacopo De Nardis (Cergy Paris Université)

17:00 - 17:30  Ballistic macroscopic fluctuation theory: formalism
                      and applications
                       Takato Yoshimura (King’s College London)

17:30 - 20:00  Discussion & Conference cocktail

Tuesday, 10 March

09:00 - 10:15  Invariant Measures and Scaling Limits of Discrete
                      Integrable Systems
                       Makiko Sasada (Université de Tokyo)

10:15 - 11:00  Break and discussion

11:00 - 12:15  Soliton gas in integrable PDEs
                       Tamara Grava (University of Bristol)

12:30 - 14:00  Lunch 

14:00 - 15:15  Where solitons are in a KdV soliton gas
                       Benjamin Doyon (King’s College London)

15:15 - 16:00  Break and discussion

16:00 - 16:30  Soliton gas at the interface of dispersive and 
                      generalised hydrodynamics
                       Gennady El (Northumbria University)

16:30 - 17:00  Soliton gas and generalized hydrodynamics
                      in photonic
                       Pierre Suret (Université de Lille) 

17:00 - 17:30  Microscopic origin of the quantum Mpemba effect in
                      integrable systems
                       Katja Klobas (University of Birmingham) 

17:30 - 17:45  Concluding remarks