CANCELLED - Zassenhaus Lecture - Mladen Bestvina

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Bestvina Mladen
April 8, 2020
4:15PM - 5:15PM
Location
Cockins Hall 240

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Add to Calendar 2020-04-08 16:15:00 2020-04-08 17:15:00 CANCELLED - Zassenhaus Lecture - Mladen Bestvina 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 $F_n$. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Description

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 $F_n$.

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