University of Minnesota Combinatorics Seminar: 2020-2021

Date: 03/05/2021

Speaker: Jessica Striker

P-Strict Promotion and B-Bounded Rowmotion
We generalize semistandard Young tableaux to P-strict labelings and show that promotion on these objects is in equivariant bijection with a piecewise-linear toggle action on B-bounded labelings of an associated poset, that in many nice cases is conjugate to rowmotion. We apply this result to flagged tableaux, Gelfand-Tsetlin patterns, and symplectic tableaux, obtaining new cyclic sieving and homomesy conjectures.

P-Strict Promotion and B-Bounded Rowmotion

We generalize semistandard Young tableaux to P-strict labelings and show that promotion on these objects is in equivariant bijection with a piecewise-linear toggle action on B-bounded labelings of an associated poset, that in many nice cases is conjugate to rowmotion. We apply this result to flagged tableaux, Gelfand-Tsetlin patterns, and symplectic tableaux, obtaining new cyclic sieving and homomesy conjectures.