In this talk, I will discuss some results concerning convex cocompact subgroups of the projective linear group (as defined by Danciger-Guéritaud-Kassel). These are a special class of discrete subgroups which act convex cocompactly on a properly convex domain in real projective space. In the case when the subgroup is word hyperbolic, these are well studied objects: the inclusion representation is actually an Anosov representation. The non-hyperbolic case is less understood and will be the focus of this talk. This is joint work with Mitul Islam.Non UBCUnreviewedAuthor affiliation: Louisiana State UniversityResearche
Convex cocompact subgroups of rank-one semisimple Lie groups such as PSL(2,R) form a structurally st...
Let Γ be a hyperbolic group and G be the isometry group of a Gromov-hyperbolic, properand geodesic m...
Real convex projective geometry generalizes hyperbolic geometry and incorporates some aspects of non...
Abstract. We characterize convex cocompact subgroups of mapping class groups that arise as subgroups...
Abstract. We introduce a strong notion of quasiconvexity in finitely generated groups, which we call...
We study several higher-rank generalizations of the dynamical behavior of convex cocompact groups in...
We develop a theory of convex cocompact subgroups of the mapping class group MCG of a closed, orient...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
There is a forgetful map from the mapping class group of a punctured surface to that of the surface ...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
We study infinite covolume discrete subgroups of higher rank semisimple Lie groups, motivated by und...
© 2017, Springer International Publishing AG. We study infinite covolume discrete subgroups of highe...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
Abstract. We show that any infinite order element g of a virtually cyclic hyperbolically embedded su...
The notions of convex cocompactness and geometric finiteness originally come from the study of Klein...
Convex cocompact subgroups of rank-one semisimple Lie groups such as PSL(2,R) form a structurally st...
Let Γ be a hyperbolic group and G be the isometry group of a Gromov-hyperbolic, properand geodesic m...
Real convex projective geometry generalizes hyperbolic geometry and incorporates some aspects of non...
Abstract. We characterize convex cocompact subgroups of mapping class groups that arise as subgroups...
Abstract. We introduce a strong notion of quasiconvexity in finitely generated groups, which we call...
We study several higher-rank generalizations of the dynamical behavior of convex cocompact groups in...
We develop a theory of convex cocompact subgroups of the mapping class group MCG of a closed, orient...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
There is a forgetful map from the mapping class group of a punctured surface to that of the surface ...
Niblo and Reeves [NR2] constructed a cubing for each Coxeter group using the hyperplanes of the Coxe...
We study infinite covolume discrete subgroups of higher rank semisimple Lie groups, motivated by und...
© 2017, Springer International Publishing AG. We study infinite covolume discrete subgroups of highe...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
Abstract. We show that any infinite order element g of a virtually cyclic hyperbolically embedded su...
The notions of convex cocompactness and geometric finiteness originally come from the study of Klein...
Convex cocompact subgroups of rank-one semisimple Lie groups such as PSL(2,R) form a structurally st...
Let Γ be a hyperbolic group and G be the isometry group of a Gromov-hyperbolic, properand geodesic m...
Real convex projective geometry generalizes hyperbolic geometry and incorporates some aspects of non...