Title: Lecture 3. Automorphism Groups of Free Groups
Speaker: Mladen Bestvina - University of Utah
Abstract: Mapping class groups are very well studied in geometric group theory. The outer automorphism group $Out(F_n)$ of a free group $ F_n$ shows many similarities, but also many important differences, compared to mapping class groups. In this talk, I will focus on the Lipschitz metric on Culler-Vogtmann's Outer space, which is analogous to the Teichmuller metric on the Teichmuller space. I will then outline how one can use the properties of this metric to give a classification of automorphisms of $F_n$.