3 problems

Let $(M',\xi_M,\mathcal T_M,\bar h_M)$ be a Levi subgroup of $(G',\xi,\mathcal T,\bar h)$, let $s=(M',\sigma)$ be a cuspidal datum for $G'$, and let $\hat s=({}^LM,\psi,v,\varrho)$…

Let $G$ be a reductive group and let $\dot\pi$ be supercuspidal. Levi-subgroup compatibility conjecture. Every Levi subgroup of $G$ satisfies the cuspidality criterion and satisfie…

Let $G$ be a reductive group, let X^*_\operatorname{nr}(G) and X^*_\operatorname{nr}({}^LG) be the groups of unramified characters on the representation and dual-group sides, a…