ICTS:30048

Video URL

Skew RSK dynamics

Skew RSK dynamics

(2024). Skew RSK dynamics. SciVideos. https://youtube.com/live/X_70EyC26wU

Skew RSK dynamics. SciVideos, Oct. 30, 2024, https://youtube.com/live/X_70EyC26wU 

          @misc{ scivideos_ICTS:30048,
            doi = {},
            url = {https://youtube.com/live/X_70EyC26wU},
            author = {},
            keywords = {},
            language = {en},
            title = {Skew RSK dynamics},
            publisher = {},
            year = {2024},
            month = {oct},
            note = {ICTS:30048 see, \url{https://scivideos.org/icts-tifr/30048}}
          }
Tomohiro Sasamoto
Talk numberICTS:30048
Source RepositoryICTS-TIFR
Source EventDiscrete integrable systems: difference equations, cluster algebras and probabi…
Collection

Abstract

In [1] we introduced the skew RSK dynamics, which is a time evolution for a pair of skew Young tableaux (P,Q). This gives a connection between the q-Whittaker measure and the periodic Schur measure, which immediately implies a Fredholm determinant formula for various KPZ models[2]. The dynamics exhibits interesting solitonic behaviors similar to box ball systems (BBS) and is related to the theory of crystal. 

In this talk we explain basics of the skew RSK dynamics. The talk is based on a collaboration with T. Imamura, M. Mucciconi. 

[1] T. Imamura, M. Mucciconi, T. Sasamoto, 
Skew RSK dynamics: Greene invariants, affine crystals and applications to $q$-Whittaker polynomials, Forum of Mathematics, Pi (2023), e27 1–10. 

[2] T. Imamura, M. Mucciconi, T. Sasamoto, 
Solvable models in the KPZ, arXiv: 2204.08420