4 problems

Let an $s$-associahedron be a polytopal complex associated with the $s$-Tamari lattice, whose Hasse diagram is the $1$-skeleton of a polytopal subdivision of a polytope. Let an $s$…

Let $\mathrm{DH}_{n,r}$ be the multivariate diagonal harmonics space, with its homogeneous components indexed by multidegrees, and let intervals in the Tamari lattice carry combina…

Let $k$ be a field. For a finite poset $Y$, let $\mathcal{F}_{Y,k}$ denote the abelian category of $k$-linear functors from $Y$ to $k\text{-}{\rm Mod}$, and let…

Let $T_1$ and $T_2$ be trees with an upper bound in the Tamari lattice $\mathscr{C}_n$, and let $\mathscr{R}_n$ be the rotation graph on these trees. A shortest path in…