21 citations · 47 across the 11 of their papers we have counts for
12 papers
A new proof of finiteness of maximal arithmetic reflection groups
David Fisher, Sebastian Hurtado
We give a new proof of the finiteness of maximal arithmetic reflection groups. Our proof is novel in that it makes no use of trace formulas or other tools from the theory of automo…
Topological complexity of arithmetic locally symmetric spaces
Mikołaj Frączyk, 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…
A height gap in and almost laws
Lvzhou Chen, Sebastian Hurtado, Homin Lee
E. Breuillard showed that finite subsets of matrices in generating non-virtually solvable groups have normalized height ,…
Zimmer's conjecture for non-uniform lattices: escape of mass and growth of cocycles
Aaron Brown, David Fisher, Sebastian Hurtado
We establish finiteness of low-dimensional actions of lattices in higher-rank semisimple Lie groups and establish Zimmer's conjecture for many such groups. This builds on previous…
Non left-orderability of lattices in higher rank semi-simple Lie groups
Bertrand Deroin, Sebastian Hurtado
We prove that an irreducible lattice in a real semi-simple Lie group of real rank at least two and finite center is not left-orderable.
Global Rigidity of Some Abelian-by-Cyclic group actions on $\T^2$
Sebastian Hurtado, Jinxin Xue
For groups of diffeomorphisms of $\T^2$ containing an Anosov diffeomorphism, we give a complete classification for polycyclic Abelian-by-Cyclic group actions on $\T^2$ up to both t…
Zimmer's conjecture for actions of
Aaron Brown, David Fisher, Sebastian Hurtado
We prove Zimmer's conjecture for actions by finite-index subgroups of provided . The method utilizes many ingredients from our earlier proof…
Examples of diffeomorphism group cocycles with no periodic approximation
Sebastian Hurtado
We construct a finitely generated subgroup of where every element is conjugate to an isometry but such that the group actio…
Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T)
Aaron Brown, David Fisher, Sebastian Hurtado
We prove several cases of Zimmer's conjecture for actions of higher-rank cocompact lattices on low dimensional manifolds. For example, if is a cocompact lattice in $\mathrm{Sl}…
The Burnside problem for
Sebastian Hurtado, Alejandro Kocsard, Federico Rodríguez-Hertz
Let be a closed surface and be the group of volume preserving diffeomorphisms of . A finitely generated group is periodic of bounded expone…
Distortion and Tits alternative in smooth mapping class groups
Sebastian Hurtado, Emmanuel Militon
In this article, we study the smooth mapping class group of a surface S relative to a given Cantor set, that is the group of isotopy classes of orientation-preserving smooth diffeo…
Continuity of discrete homomorphisms of diffeomorphism groups
Sebastian Hurtado
Let and be two closed manifolds and let denote the group of diffeomorphisms isotopic to the identity. We prove that any (discre…