Speaker: Anna Stokke, University of Winnipeg
Title: Increasing tableaux and the cyclic sieving phenomenon
Abstract: An increasing tableau is a Young tableau with strictly increasing rows and columns. Pechenik gave an instance of the cyclic sieving phenomenon of Reiner Stanton and White using K-jeu de taquin promotion for increasing tableaux of rectangular shape with 2 rows, which has recently been given a representation-theoretic interpretation by Rhoades.
I will discuss enumeration results for increasing tableaux of rectangular shape, as well as CSPs for increasing tableaux, and give an instance of the cyclic sieving phenomenon on increasing tableaux of hook shape. This is joint work with T. Pressey and T. Visentin.