Abstract: The Robinson-Schensted (RS) correspondence is a bijection between permutations and pairs of standard Young tableaux which plays a central role in the theory of Schur polynomials. In this talk, I will present a (q,t)-dependent probabilistic deformation of the Robinson-Schensted correspondence which is related to the
Cauchy identity for Macdonald polynomials. By specialising q and t, one recovers the row and column insertion algorithm as well as q-and t-deformations of RS; these have been introduced in recent years and are related to q-Whittaker and Hall-Littlewood polynomials, respectively. I will also explain connections to a (q,t)-generalization
of the Greene-Nijenhuis-Wilf random hook walk and the q-Plancherel measure.
This is joint work with Gabriel Frieden.
Zoom-Meeting beitreten:
https://zoom.us/j/95912775337?pwd=dWRrYjJPanJCQkRpUWI5WG9OeWpEdz09
Meeting-ID: 959 1277 5337
Kenncode: 4cX65L