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:

1. Integrable probability, especially asymptotics, such as Tracy-Widom fluctuations, large deviations, and stationary measures.
2. Algebraic structures with the Yang-Baxter Equation, specifically Hecke algebras and quantum groups, and their relationship to asymptotics.
3. Combinatorial constructions of the aforementioned algebraic objects, and combinatorial formulas for probabilistic expressions.