Product formulas for the number of Young tableaux of skew shapeAlgebra & Discrete Mathematics
|Igor Pak, UCLA and MSRI
|Mon, Nov 13 2017, 4:15PM
Explicit product formulas for the number of combinatorial objects tend to be beautiful but rather uncommon. Algebraic combinatorialists are spoiled with a hook length formula for the number of standard Young tableaux of straight shapes. I will explain that in some special cases such product formulas exist also for skew shapes. I will tell a story of how these came about. I will also outline applications to asymptotics of Schubert polynomials and weighted lozenge tilings.
The talk is aimed at a general audience. Based on joint work with Alejandro Morales and Greta Panova.