5 problems

Let $F$) be a non-Archimedean local field of characteristic zero, let $\mathrm{G}$ be a connected reductive group over $F$, and set $G=\mathrm{G}(F)$. Let $\Pi_u(G)$ denote the uni…

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…