8 problems

Let $T$ be a Richardson tableau, and let the order on Richardson components be given together with the operations ${\mathcal T}_{\alpha,\beta}$ and transposition. Richardson-compon…

Let ${\bf T}_n$ be the set of standard Young tableaux with $n$ boxes, let $I_T$ be the primitive ideal attached to $T$, let ${\mathcal V}_T$ be its orbital variety, and let…

For ${\mathfrak g}={\mathfrak s}{\mathfrak l}_n$, let ${\bf T}_n$ be the set of standard Young tableaux with $n$ boxes. To each $T\in{\bf T}_n$ attach a primitive ideal $I_T$ and a…

Let ${\bf T}_n$ be the set of standard Young tableaux with $n$ boxes, and consider the combinatorics of inclusions among primitive ideals and among closures of orbital varieties at…

Let ${\mathfrak g}={\mathfrak s}{\mathfrak l}_n$, and let the algebraic and geometric orders be the orders on standard Young tableaux induced respectively by inclusion of primitive…

Let ${\mathfrak g}={\mathfrak{sl}}_n$ and let ${\mathcal V}$ be an orbital variety, that is, an irreducible component of ${\mathcal O}\cap{\mathfrak n}$ for a nilpotent orbit…

Union conjecture. In ${\mathfrak s}{\mathfrak l}_n$, the closure $\overline{\mathcal U}$ is a union of orbital varieties.

The defining-equations conjecture. These equations define $E_\rho$.