Program on Classical, quantum, and probabilistic integrable systems – novel interactions and applications

Dates: March 24–May 24, 2025 

Location: CMSA, 20 Garden Street, Cambridge MA 02138

Exactly solvable models have played pivotal roles in mathematics and physics throughout their history. The program is dedicated to exploring and developing a more recent wave of their influence in stochastic models together with accompanying combinatorial, classical, and quantum integrable systems. Topics will include:

• Colored and uncolored interacting particle systems with associated vertex models and line ensembles
• Yang-Baxter integrability and its applications in algebraic combinatorics, quantum systems, and conformal field theory
• Quantum stochastic models, quantum exclusion processes, and free probability
• Emerging new aspects of classical and quantum integrable systems – hydrodynamics, large deviations of stochastic models, and random surface models

Organizers:

• Amol Aggarwal, Columbia University & Clay Mathematics Institute
• Guillaume Barraquand, École normale supérieure, Paris
• Alexei Borodin, MIT
• Ivan Corwin, Columbia University
• Pierre Le Doussal, École normale supérieure, Paris
• Michael Wheeler, University of Melbourne

Further details TBA.