2 problems

Let $F$ be the global field and let $E/F$ be the quadratic extension underlying the unitary similitude group. Let $\ba$ denote the ring of adeles of $F$, let $\pi$ be an irreducibl…

Let $G=\operatorname{GL}_n$ and let $b=1$, so that $J_1(F)=G(F)$. For a suitable pair $(f,\underline{w}_f)$, write … for the affine Deligne–Lusztig induction map, and suppose that…