Refined canonical stable Grothendieck polynomials

par Jihyeug Jang (Université de Genève)

mardi 10 mars 2026, 10:30 → 11:30 Europe/Paris

Salle Fokko du Cloux (ICJ, Université Lyon 1)

Refined canonical stable Grothendieck polynomials and their duals are defined with two infinite families of parameters, unifying several generalizations of Grothendieck polynomials, including Yeliussizov’s canonical stable Grothendieck polynomials, the refined Grothendieck polynomials of Chan and Pflueger, and the refined dual Grothendieck polynomials of Galashin, Liu, and Grinberg. In this talk I will introduce these polynomials, outline key structural results such as Jacobi–Trudi-like formulas, Schur expansions, Schur positivity, and dualities, and then focus on their combinatorics. I will present combinatorial interpretations via generalizations of set-valued tableaux and reverse plane partitions, and explain how two tableau models, hook-valued tableaux and pairs consisting of a semistandard Young tableau and an exquisite tableau, are connected through the uncrowding algorithm and Goulden--Greene’s jeu de taquin.