Hyperbolicity in CAT(0)-spaces
Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016
Location: MSRI: Simons Auditorium
CAT(0) space
Riemannian geometry
negative curvature manifolds
hyperbolic manifold
orbifolds
Lie groups of Riemannian isomorphisms
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
14610
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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14610
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