collaborators

3 papers

math.NT2026

Benjamini--Schramm convergence of arithmetic locally symmetric spaces

Mikołaj FrÄ czyk, 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.NT2026

Topological complexity of arithmetic locally symmetric spaces

Mikołaj FrÄ czyk, Sebastian Hurtado, Jean Raimbault

We prove that any arithmetic locally symmetric space is homotopy equivalent to a simplicial complex where the number of simplices is bounded linearly in the volume of the space. Th…

math.GR2026

Invariant random subgroups in hyperbolic reflection groups

Jean Raimbault

We prove that the Fuchsian (4,4,4) triangle group and also right-angled reflection groups of hyperbolic spaces in higher dimensions admit ergodic invariant random subgroups having…