Construction of Interpolation Symmetric Functions from q-Hahn Integrable Models

Explore a 50-minute lecture on the construction of interpolation symmetric functions from q-Hahn integrable models. Delve into Sergei Korotkikh's presentation at IPAM's Integrability and Algebraic Combinatorics Workshop, where he introduces a new interpretation of Povolotsky's integrable models governed by q-Hahn weights. Discover how this interpretation, derived from representations of quantum loop sl2 algebra, leads to the construction of a novel family of symmetric functions. Examine how these functions generalize Macdonald functions with t=0, satisfy a version of the Cauchy identity, and possess a unique interpolation property. Gain insights into the intersection of integrable models, algebraic combinatorics, and quantum algebra in this advanced mathematical exploration.