Skew RSK Dynamics and Applications to KPZ Models

Explore a 55-minute conference talk on "Skew RSK dynamics" presented by Tomohiro Sasamoto from the Tokyo Institute of Technology at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Delve into the intricacies of skew RSK dynamics, a time evolution for pairs of skew Young tableaux, and its connections to q-Whittaker measure and periodic Schur measure. Discover how this dynamics leads to Fredholm determinant formulas for various KPZ models and exhibits solitonic behaviors similar to box ball systems. Learn about the relationship between skew RSK dynamics and crystal theory, and explore a newly introduced column version of the dynamics. Gain insights into the collaborative research behind this topic, including applications to q-Whittaker polynomials and solvable models in the KPZ class.