Recorded 16 April 2024. Sergei Korotkikh of the University of California, Berkeley, presents "Construction of interpolation symmetric functions from q-Hahn integrable models" at IPAM's Integrability and Algebraic Combinatorics Workshop. Abstract: A decade ago Povolotsky has introduced a type of integrable models which are governed by so-called q-Hahn weights. In my talk I will explain a new interpretation of these models which comes from representations of quantum loop sl2 algebra. Using this new interpretation I will show how to construct a new family of symmetric functions which generalize Macdonald functions with t=0, satisfy a version of the Cauchy identity and which satisfy a certain interpolation property. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-ii-integrability-and-algebraic-combinatorics/