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Hyperbolicity in CAT(0)-spaces

Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016

September 27, 2016 (03:30 PM PDT - 04:20 PM PDT)
Speaker(s): Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • CAT(0) space

  • Riemannian geometry

  • negative curvature manifolds

  • hyperbolic manifold

  • orbifolds

  • Lie groups of Riemannian isomorphisms

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14610

Abstract

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.

Supplements
26812?type=thumb Hamenstadt.Notes 802 KB application/pdf Download
Video/Audio Files

14610

H.264 Video 14610.mp4 282 MB video/mp4 rtsp://videos.msri.org/data/000/026/656/original/14610.mp4 Download
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