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Cubical accessibility and bounds on curves on surfaces

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

September 29, 2016 (10:30 AM PDT - 11:20 AM PDT)
Speaker(s): Nir Lazarovich (ETH Zürich)
Location: MSRI: Simons Auditorium
  • CAT(0) space

  • negative curvature manifolds

  • hyperbolic manifold

  • Riemannian manifold

  • Haken manifold

  • codimension 1 geometry

  • group actions on trees

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



We give a bound on the number of parallelism classes of orbits of hyperplanes in a CAT(0) cube complex which is built from tracks on a simplicial complex. We apply this bound to obtain acylindrical accessibility for actions on CAT(0) cube complexes and bounds on curves on surfaces. Joint work with Benjamin Beeker

26818?type=thumb Lazarovich.Notes 744 KB application/pdf Download
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