Speaker:  Son Nguyen, MIT
Title: Shuffle tableaux
Time: 2:30 PM, Monday, December 8, 2025
Place:  Malott 206

Abstract:Elements of Lusztig's dual canonical bases are Schur-positive when evaluated on (generalized) Jacobi-Trudi matrices. This deep property was proved by Rhoades and Skandera, relying on a result of Haiman, and ultimately on the (proof of) Kazhdan-Lusztig conjecture. For a particularly tractable part of the dual canonical basis - called Temperley-Lieb immanants - we give a generalization of Littlewood-Richardson rule using shuffle tableaux. We then use our new rule to prove a special case of a Schur log-concavity conjecture by Lam-Postnikov-Pylyavskyy.


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