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math.NT2026
Benjamini--Schramm convergence of arithmetic locally symmetric spaces
Mikołaj Frączyk, Sebastian Hurtado, Jean Raimbault
We prove that the thin parts of arithmetically defined locally symmetric space take up a negligible part of their volume and deduce asymptotic results on their Betti numbers.
math.NT2015
On the torsion in symmetric powers on congruence subgroups of Bianchi groups
Jonathan Pfaff, Jean Raimbault
In this paper we prove that for a fixed neat principal congruence subgroup of a Bianchi group the order of the torsion part of its second cohomology group with coefficients in an i…