3 problems

Let $Q$ be a standard Young tableau and let $V$ be its corresponding vacillating tableau. Let evacuation, also called the Schützenberger involution, act on $Q$, and let reversal ac…

Let standard Young tableaux be concatenated when their row lengths all have the same parity, and let vacillating tableaux of shape $\emptyset$ be concatenated in the corresponding…

Rubey's conjecture. The vacillating tableau corresponding to $\varepsilon(T)$ is the reversal of the vacillating tableau corresponding to $T$.