2 problems

Let $K={\bf F}_q(T)$, let $G/K$ be an isotropic, semisimple, simply-connected algebraic group, and let $Z$ be its center. Let ${\bf A}^{\mathrm{fin}}_K$ denote the finite adeles of…

Assume that $\operatorname{char}(k)\neq 2$, that $\pi:\widetilde X\rightarrow X$ is a possibly ramified double cover with involution $\sigma$, and set…