Monday, March 30 |
Geometry and Topology
Time: 15:30
Speaker: Alexandra Pettet (Michigan) Title: "Dynamics of Out(F): twisting out fully irreducible automorphisms" Room: MC 107 Abstract: The outer automorphism group Out(F) of a free group F of finite rank shares many properties with the mapping class group of a surface, however the techniques for studying these groups are generally quite different. Analogues of the pseudo-Anosov elements of the mapping class group are the so-called fully irreducible automorphisms, which exhibit north-south dynamics on Culler-Vogtmann's Outer Space. We will explain a method for constructing these automorphisms and suggest why this construction should be useful. This is joint work with Matt Clay (University of Oklahoma). |
Department of Mathematics
the University of Western Ontario
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