6 problems

Let $F$ be a non-Archimedean local field of characteristic zero, let $G_n=\mathrm{Sp}_{2n}(F)$ or $G_n=\mathrm{SO}_{2n+1}(F)$, and let $\psi\in\Psi^+_{\mathrm{unit}}(G_n)$ have dec…

Vogan's fundamental parallelepiped conjecture. If $X$ is unitary, then

Salamanca-Riba–Vogan's convex-hull conjecture. If $X$ is unitary, then $\Lambda$ must lie in

Salamanca-Riba–Vogan's unitarity conjecture. The above bijection preserves unitarity.

Let $G$ be a split classical group, and let $\pi$ be an isolated representation in the unitary dual of $G$. Critical-type conjecture. The representation $\pi$ is a subquotient of a…

Let $D$ be a central division algebra over a non-archimedean local field $F$, and let $B$ be the set of irreducible representations defined above, consisting of the unitary Speh re…