Algebraic and combinatorial structures in exactly solvable models
June 15, 2026 – June 19, 2026
This workshop, sponsored by AIM and the NSF, will be devoted to drawing connections in between integrable probability, quantum groups and Hecke algebra, and combinatorics. Recent developments have shown exciting and potentially innovative bridges between these historically distinct fields.
Specific topics discussed during the workshop will include:
- Integrable probability, especially asymptotics, such as Tracy-Widom fluctuations, large deviations, and stationary measures.
- Algebraic structures with the Yang-Baxter Equation, specifically Hecke algebras and quantum groups, and their relationship to asymptotics.
- Combinatorial constructions of the aforementioned algebraic objects, and combinatorial formulas for probabilistic expressions.
This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
For more information email workshops@aimath.org