Sebastian Hurtado

collaborators

3 papers

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.GR2025

Irreducible groups and ergodicity in the boundary

Subhadip dey, Sebastian Hurtado

We show that if $G$ is a real semi-simple Lie group, and $Γ$ is a discrete subgroup of $G$ containing a subgroup $Σ$ acting ergodically (in a strong sense) on the Furstenberg bound…

math.GR2025

A strong height gap theorem for $P G L_{2}$

Mikhail Belolipetsky, Sebastian Hurtado

The height gap theorem states that the finite subsets $F$ of matrices generating non-virtually solvable groups have normalized height $h (F)$ bounded below by a constant.…

Benjamini--Schramm convergence of arithmetic locally symmetric spaces

Irreducible groups and ergodicity in the boundary

A strong height gap theorem for PGL2​

A strong height gap theorem for $P G L_{2}$