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Product formulas for the number of Young tableaux of skew shape

Algebra & Discrete Mathematics

Speaker: Igor Pak, UCLA and MSRI
Location: 1147 MSB
Start time: 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.