2 problems

Let $\boldsymbol{G}$ be a semisimple $\mathbb{Q}$-algebraic group, let $G$ be its real points, let $\Gamma$ be an arithmetic lattice in $G$, and set $X:=G/\Gamma$. Let…

Let $\bm{H}$ be a $\mathbb{Q}$-subgroup, let $S_{\bm{H}}$ be the subgroup used to define the corresponding set $\Omega_{g,\varepsilon}\subseteq\operatorname{Lie}(S_{\bm{H}})$, and…