3 problems

Let $\lambda$ be a shape, let $\Psi=\Psi^f(\lambda)$ be its shard intersection order, and let $r$ be its rank. Define … Let $F(x,y)$ be the $F$-triangle associated with the corresp…

Let $\lambda$ be a shape, let $\mathcal{A}_{\lambda}=\{H_s:s\in\operatorname{Seg}(\lambda)\}$ be the arrangement associated with its segments, and let $\mathcal{F}_{\lambda}$ be th…

Let $\lambda$ be a shape, and let $\mathcal{F}_{\lambda}$ be the complete fan realization of the reduced nonkissing complex, called the Grid-associahedron fan. Polytopality conject…