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Optimal Weak Injective Radius and General Density conjecture for Archimedean congruence subgroups
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…
Conjectureopenarithmetic-groups injective-radius spectral-densityarXiv posted 2 days ago
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Weak Injective Radius Property implies the General Density and Spherical Density Hypotheses
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…
Conjectureopenautomorphic-representations injective-radius spectral-densityarXiv posted 2 days ago

Optimal Weak Injective Radius and General Density conjecture for Archimedean congruence subgroups