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Free-by-cyclic groups and trees

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NPCW05 - Group actions and cohomology in non-positive curvature

Given a hyperbolic free-by-cyclic group G, I will explain how to assign an action of G on a topological R-tree T_U for certain components U of the BNS invariant.   For every element x in U, there is a metric on T_U so that G acts by homotheties and the kernel of x acts by isometries.  This is part of ongoing joint work with Spencer Dowdall and  Ilya Kapovich.

This talk is part of the Isaac Newton Institute Seminar Series series.

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