Hyperbolicity in CAT(0)-spaces
Location: MSRI: Simons Auditorium
negative curvature manifolds
Lie groups of Riemannian isomorphisms
Bounded cohomology shows that lattices in higher rank Lie groups are not acylindrically hyperbolic. Nevertheless, convex cocompact subgroups of higher rank simple Lie groups can be defined and studied in analogy to the theory of Kleinian groups. We use these ideas to construct in some cases surface subgroups of cocompact lattices in higher rank Lie groups.
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