Title: Random rigidity in the free group
Speaker: Danny Calegari
Speaker Info: Caltech University
Brief Description:
Special Note:
Abstract:
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