Organisers:
Olalla Castro Alvaredo (City University of London, UK)
Nikolai Kitanine (Universite de Bourgogne, France)
Michael Wheeler (University of Melbourne, Australia)

Program Description:

Quantum integrability is one of the most powerful mathematical tools of modern theoretical physics, essential for the study of non-perturbative phenomena in quantum field theory, statistical mechanics and condensed matter physics. The study of quantum integrable systems and exactly solvable models in statistical mechanics has played a pivotal role in the development of several branches of pure mathematics such as quantum groups or integrable probabilities. From its very inception, integrable models have allowed us to establish a non-trivial relationship between quantum systems in one dimensions and two-dimensional models of statistical mechanics. Therefore, the same mathematical methods couldbe used to describe the equilibrium properties of apparently very different systems, ie. classical statistical mechanical systems versus1+1-dimensional quantum field theories.

The program will be devoted to the integrable dynamics covering two sides: stochastic evolution and quantum out-of-equilibrium systems. These are two extremely actively developed fields, both based on mathematical technics of one-dimensional quantum integrable systems and two-dimensional exactly solvable models in statistical mechanics, in particular on the seminal work of Rodney Baxter. The program will include some introductory lectures for PhD students and young researchers on the central subjects for the two sides: KPZ equation and universality class for the stochastic side and generalised hydrodynamics and generalised Gibbs ensembles for the quantum one, and continue with a workshop during the final week.

Program Structure: TBD

Registration:

• Deadline: TBD
• Registration is by invitation only. If you are interested to participate in this program, please contact one of the organisers with your CV and research background.
• Arrival date: 31 May 2026

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 2 June 2026
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.