6 problems

Let $G'$ be the set of regular elements of $G$, let $A^{-}$ be the subset of $A$ defined by … and let $(MA)^{-}$ be the interior in $MA$ of the set of elements $g$ such that … for…

Let $F$ be the underlying local field, let $G_m=GL_m(F)$, and let $N$ and $\psi$ be the subgroup and character defining the twisted Jacquet module. Let $\pi$ be an irreducible smoo…

Let $G$ be the reductive group and $\rho$ the order-$\ell$ automorphism described in the paper, with $\Gamma=\langle\rho\rangle$; let $\Pi$ be an irreducible $\ell$-modular represe…

Prasad's conjecture. As $D^{\times}$-representations,

Let $F_n$ be the unique degree-$n$ extension of $F$, let $G=\operatorname{GL}(2n,F)$, and let $A\in\operatorname{M}(n,F)$ be the matrix specified in the source. Let…

Let $U$ be an allowable object of $\operatorname{Rep}_{\mathrm{la,c}}^{z}(M)$ and let $V$ be a very strongly admissible $G$-representation. Write $J_P(V)$ for the Jacquet–Emerton f…