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Cubical geometry via hyperbolicity

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

September 28, 2016 (11:40 AM PDT - 12:30 PM PDT)
Speaker(s): Mark Hagen (University of Cambridge)
Location: MSRI: Simons Auditorium



I will discuss a collection of hyperbolic graphs associated to a CAT(0) cube complex and explain how the geometry of the cube complex can be recovered -- up to quasi-isometry -- from its shadows on these graphs.  I will explain how this mirrors the Masur-Minsky theory enabling the study of the mapping class group of a surface via projections to curve graphs of subsurfaces.  I'll then define "hierarchical hyperbolicity", which is a common generalisation of these two classes of examples, and discuss some applications.  This is based on joint work with J. Behrstock and A. Sisto

26815?type=thumb Hagen.Notes 476 KB application/pdf Download
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