Seminar Event Detail


Topology

Date:  Thursday, October 12, 2017
Location:  1866 East Hall (3:00 PM to 4:00 PM)

Title:  The visual boundary of hyperbolic free-by-cyclic groups

Abstract:   Given an automorphism of the free group, consider the mapping torus defined with respect to the automorphism. If the automorphism is atoroidal, then the resulting free-by-cyclic group is hyperbolic by work of Brinkmann. In addition, if the automorphism is fully irreducible, then work of Kapovich--Kleiner proves the boundary of the group is homeomorphic to the Menger curve. However, their proof is very general and gives no tools to further study the boundary and large-scale geometry of these groups. In this talk, I will explain how to construct explicit embeddings of non-planar graphs into the boundary of these groups whenever the group is hyperbolic. This is joint work with Yael Algom-Kfir and Arnaud Hilion.

Files:


Speaker:  Emily Stark
Institution:  Technion

Event Organizer:   Kevin Schreve    schreve@umich.edu

 

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