The Density Hypothesis for Irreducible Lattices in PSL(2, ℝ) d

Key Points

• The aim is to prove the density hypothesis for congruence subgroups within irreducible uniform lattices in PSL(2, R)^d.
• Proving density hypothesis for congruence subgroups.
• Extending previous spherical density results to nonspherical representations.
• Providing uniform bounds in terms of the level and spectral parameters.
• Validation of the density hypothesis for new classes of lattices.
• Uniform bounds achieved across various levels and spectral parameters.