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Algebraic Combinatorics Seminar - Florian AignerExport this event to calendar

Thursday, October 29, 2020 — 1:00 PM EDT

Title: qRSt: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials

Speaker: Florian Aigner
Affiliation: Université du Québec à Montréal
Zoom: Contact Karen Yeats

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 Robinson--Schensted 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-Littwood 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.
 

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