8 papers · 1 filter
The Many Faces of Magog Matrices
Rohan Bansal, Jessica Striker
Magog matrices, introduced by Holmlund and Striker in 2025, provide a matrix model for totally symmetric self-complementary plane partitions (TSSCPPs), as a natural analogue of alt…
Forest webs and pattern avoidance
Jessica Striker, Bridget Eileen Tenner
In a recent preprint, Mike Cummings showed that the smooth components of suitably parametrized Springer fibers are in bijection with contracted, fully reduced Plücker degree-two $\…
Orbitmesy and promotion on self-dual posets
Esther Banaian, Emily Barnard, Sunita Chepuri +1
We introduce the notion of orbitmesy, which is related to homomesy, a central phenomenon in dynamical algebraic combinatorics. An orbit is said to be orbitmesic with respect to…
Webification of symmetry classes of plane partitions
Ashleigh Adams, Jessica Striker
Webs are graphical objects that give a tangible, combinatorial way to compute and classify tensor invariants. Recently, [Gaetz, Pechenik, Pfannerer, Striker, Swanson 2023+] found a…
Interval-closed set rowmotion and homomesy on products of two chains
Nadia Lafrenière, Joel Brewster Lewis, Erin McNicholas +2
We study rowmotion dynamics on interval-closed sets. Our first main result proves a simplification of the global definition of interval-closed set rowmotion from (Elder, Lafrenière…
Enumeration of interval-closed sets via Motzkin paths and quarter-plane walks
Sergi Elizalde, Nadia Lafrenière, Joel Brewster Lewis +3
We find a generating function for interval-closed sets of the product of two chains poset by constructing a bijection to certain bicolored Motzkin paths. We also find a functional…