Trends in Dynamics

Title: Random rigidity in the free group
Speaker: Danny Calegari
Speaker Info: Caltech University
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We prove a rigidity theorem for the geometry of the unit ball in the stable commutator length norm spanned by k random elements of the commutator subgroup of a free group of fixed big length n; such unit balls are C^0 close to regular octahedra. A heuristic argument suggests that the same is true in all hyperbolic groups. This is joint work with Alden Walker.
Date: Thursday, April 28, 2011
Time: 9:00am-9:50am
Where: Hardin Hall, Rebecca Crown Center, 633 Clark Street, Downstairs
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