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math.NT2010
A uniform spectral gap for congruence covers of a hyperbolic manifold
Dubi Kelmer, Lior Silberman
Let be $\SO(n,1)$ or $\SU(n,1)$ and let denote an arithmetic lattice. The hyperbolic manifold $Γ\backslash \calH$ comes with a natural family of covers, coming fro…
math.NT2010
A Uniform Strong Spectral Gap for Congruence Covers of a compact quotient of PSL(2,R)^d
Dubi Kelmer
The existence of a strong spectral gap for lattices in semi-simple Lie groups is crucial in many applications. In particular, for arithmetic lattices it is useful to have bounds fo…