Polymer Partition Functions and the Geometric RSK Correspondence

Explore the geometric lifting of the RSK correspondence (gRSK) in this 52-minute lecture by Ivan Corwin from Columbia University. Delve into two key results: the invariance of partition functions for directed path ensembles under gRSK, and the discrete Gibbs field structure of the geometric Q-tableaux arising from applying gRSK to inverse-gamma random variable arrays. Gain insights into asymptotic algebraic combinatorics and its applications in polymer physics and stochastic processes. Part of the Asymptotic Algebraic Combinatorics 2020 series at the Institute for Pure and Applied Mathematics, UCLA.