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

Register Online

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

Participants

• Denis Bernard, Ecole Normale Supérieure Paris
• Alexey Bufetov, University of Leipzig
• Pasquale Calabrese, SISSA Trieste
• Sylvie Corteel, UC Berkeley
• Cesar Cuenca, Ohio State University
• Jan De Gier, University of Melbourne
• Andrea De Luca, CNRS, Cergy Paris University
• Benjamin Doyon, King’s College London
• Patrik Ferrari, University of Bonn
• Vadim Gorin, UC Berkeley
• Tamara Grava, SISSA
• Jimmy He, Ohio State University
• Jiaoyang Huang, University of Pennsylvania
• Kurt Johansson, KTH Stockholm
• Richard Kenyon, Yale
• Alexandre Krajenbrink, Cambridge Quantum Computing & Quantinuum
• Atsuo Kuniba, University of Tokyo
• Matteo Mucciconi, National University of Singapore
• Greta Panova, University of Southern California
• Leonid Petrov, University of Virginia
• Sylvain Prolhac, Université Paul Sabatier, Toulouse
• Tomaž Prosen, University of Ljubljana
• Tomohiro Sasamoto, Tokyo Institute of Technology
• Herbert Spohn, Technical University of Munich
• Li-Cheng Tsai, University of Utah

Schedule

Week 1

Monday, March 24th

11:00am – 12:00pm Room G-10, Lecture 1 of 4: Denis Bernard, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs

12:00 – 2:00pm Common Room: Program Lunch

4:00 – 4:30pm Common Room: CMSA colloquium tea

4:30 – 5:30pm Common Room, CMSA colloquium: Amol Aggarwal, Columbia University: The Toda Lattice as a Soliton Gas

 

Tuesday, March 25th

3:30 – 4:00pm Common Room: Program tea

4:00 – 5:00pm Room G-10, Seminar: Patrik Ferrari, Universität Bonn: Decoupling and decay of two-point functions in a two-species TASEP

 

Wednesday, March 26th

11:00am – 12:00pm Room G-10, Lecture 1 of 3: Atsuo Kuniba, University of Tokyo: Multispecies ASEP and t-PushTASEP on a ring and a strange five vertex model.

3:00 – 4:00pm Room G-10, Lecture 2 of 4: Denis Bernard, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs

4:30 – 5:30pm Common Room: Program wine and cheese reception

 

Thursday, March 27th

11:00am – 12:00pm Room G-10, Lecture: Benjamin Doyon, King’s College London: TBD

3:30pm – 4:00pm Common Room: Program tea

4:00 – 5:00pm Room G-10, Seminar: Sylvie Corteel, University of California at Berkeley: Crystal Skeletons

 

Friday, March 28th

12:00 – 1:00 pm Common Room: Lunch with CMSA Member Seminar

2:00 – 3:00pm Room G-10, Lecture 3 of 4 : Denis Bernard, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs

3:30 – 4:00 pm Common Room: Program tea

 

Week 2

Monday, March 31

11:00am – 12:00pm Room G-10, Lecture 2 of 2: Benjamin Doyon, King’s College London: TBD

12:00 – 2:00pm Common Room: Program Lunch

2:00 – 3:00pm Room G-10, Lecture 2 of 3: Atsuo Kuniba, University of Tokyo: TBD

3:30 – 4:00pm Program tea

 

Tuesday, April 1

11:00am – 12:00pm Room G-10, Lecture 1 of 2: Kurt Johansson, KTH Stockholm: TBD

3:30pm – 4:00pm, Common Room: Program tea

 

Wednesday, April 2

11:00am – 12:00pm Room G-10, Lecture 4 of 4: Denis Bernard, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs

3:00 – 4:00pm Room G-10, Lecture 3 of 3: Atsuo Kuniba, University of Tokyo: TBD

4:30 – 5:30pm Common Room: Program wine and cheese reception

 

Thursday, April 3

11:00am – 12:00pm Room G-10, Lecture 2 of 2: Kurt Johansson, KTH Stockholm: TBD

3:30pm – 4:00pm Common Room: Program tea

 

Friday, April 4

12:00 – 1:00pm Common Room: Lunch with CMSA Member Seminar

3:30 – 4:00pm Common Room: Program tea