3 problems

Let $G$ be an Archimedean, semisimple, almost-simple and simply connected group, let $\Gamma_1$ be an arithmetic lattice, and let $(\Gamma_N)$ be a sequence of congruence subgroups…

Let a sequence of congruence subgroups be equipped with the Weak Injective Radius Property, the General Density Hypothesis, and the Spherical Density Hypothesis as defined in the s…

Let $G$ be a real, semisimple, almost-simple and simply connected Lie group, let $\Gamma_1$ be a cocompact arithmetic lattice of $G$, and let $(\Gamma_N)$ be a sequence of finite-i…