The geometry of hyperbolic groups and their fixed point properties
Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016
Location: MSRI: Simons Auditorium
Tags/Keywords
geometric group theory
hyperbolic groups
random groups
fixed point properties
Boundary
property (T)
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
20P05 - Probabilistic methods in group theory [See also 60Bxx]
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
14636
In this talk I shall overview various fixed point properties and their occurence in the classes of hyperbolic groups, and of higher rank lattices. I shall then present the existing evidence, in the setting of random groups, in support of a connection between the geometry of the boundary of a hyperbolic group and the fixed point properties that the group has. This is joint work with John Mackay.
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14636
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