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Focal hyperbolic groups, contracting automorphisms and amenability (1) October 07, 2011 (11:00 AM PDT - 12:00 PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Yves Cornulier, Romain Tessera
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In the discrete setting, amenable hyperbolic groups are virtually cyclic, but in the locally compact setting, it is a much wider and more interesting class. In a joint work with Caprace and Monod, we give a structural characterization of amenable hyperbolic locally compact groups, in terms of contracting automorphisms of locally compact groups. If time permits, we\'ll indicate how L^p-cohomology provides some partial results about the QI classification of these groups. The talk will start at an elementary level.

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