5 problems

A normal plabic graph is a plabic graph whose boundary vertices are black of degree $1$, whose internal black vertices have degree $3$, and in which no two vertices of the same col…

Let $\mathcal{P}$ be a $d$-complete poset with bottom tree $\mathcal{B}$. Let $T$ be a skew increasing $\mathcal{P}$-tableau, and let $R$ and $S$ be rectifications of $T$. Bottom-t…

Let $\mathcal{P}$ be a $d$-complete poset and let $\lambda \subseteq \mathcal{P}$ be an order ideal. A rectification target is an increasing $\mathcal{P}$-tableau obtained as the r…

Periodicity conjecture. For every $T \in \operatorname{Inc}^q(3 \times n)$,

Let $T$ and $T'$ be tableaux with $T\equiv T'$. For a tableau $T$, let its size be the number of boxes in its shape, and let $w\overset{k}{\equiv}w'$ mean that $w$ and $w'$ can be…