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Word-hyperbolic surface bundles

Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016

October 25, 2016 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Christopher Leininger (University of Illinois at Urbana-Champaign)
Location: MSRI: Atrium
Video

14625

Abstract

The work of Farb-Mosher and Hamenstadt provides a necessary and sufficient condition for the fundamental group of a closed surface bundle over any compact space to be word-hyperbolic.  The condition is geometric in nature, involving the monodromy homomorphism and the action on Teichmuller space.  Gromov's hyperbolization question, in the special case of surface bundles, asks whether the condition on the action can be relaxed to a topological one.  In this talk I will discuss this problem, and some joint work with Bestvina, Bromberg, and Kent providing results in this direction

Supplements
27134?type=thumb Leininger. Notes 151 KB application/pdf Download
Video/Audio Files

14625

H.264 Video 14625.mp4 347 MB video/mp4 rtsp://videos.msri.org/data/000/026/935/original/14625.mp4 Download
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