Word-hyperbolic surface bundles
Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016
Location: SLMath: Atrium
hyperbolic groups
Teichmuller space
Surface Bundle
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
01-11 - Research data for problems pertaining to history and biography
14625
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
Leininger. Notes
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14625
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