Construction of Interpolation Symmetric Functions from q-Hahn Integrable Models
Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube
Course Description
Overview
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.
Syllabus
Sergei Korotkikh - Construction of interpolation symmetric functions from q-Hahn integrable models
Taught by
Institute for Pure & Applied Mathematics (IPAM)
Related Courses
Теория функций комплексного переменногоHigher School of Economics via Coursera Квантовая механика. Часть 1. Принципы квантовой механики
National Research Nuclear University MEPhI via edX Probabilistic Methods in PDE
Indian Institute of Science Education and Research, Pune via Swayam Уравнения математической физики. Часть 2
National Research Nuclear University MEPhI via edX Уравнения математической физики. Часть 1
National Research Nuclear University MEPhI via edX