6 problems

Let $F$ be a nonarchimedean local field, let $G$ be a reductive algebraic group over $F$, and let $\pi$ be an irreducible admissible representation of $G(F)$. Let…

Let $F$ be a nonarchimedean local field, let $G$ be a reductive algebraic group over $F$, and let $\bar{F}$ be an algebraic closure of $F$. For an irreducible admissible representa…

Maximal wave front partition conjecture. If $G_{n^*}=\operatorname{Sp}_{2n^*}$ or $\operatorname{O}_{2n^*}$, then

Let $F$ be a non-Archimedean local field, let $\bf G$ be an algebraic reductive group over $F$, and let $G=\bf G(F)$. For $\pi\in\operatorname{Irr}(G)$, let…

Let $F$ be a non-Archimedean local field, let $\bf G$ be an algebraic reductive group over $F$, and let $G=\bf G(F)$. Let $\bf H\subset G$ be a spherical subgroup defined over $F$,…

Largest-part conjecture. The largest part of the partition is