Zassenhaus Lecture -- Automorphism groups of free groups

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Mladen Bestvina
April 6, 2022
4:15PM - 5:15PM
Location
Hitchcock Hall 0324

Date Range
Add to Calendar 2022-04-06 16:15:00 2022-04-06 17:15:00 Zassenhaus Lecture -- Automorphism groups of free groups Title:  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 Teichmüller metric on the Teichmüller space. I will then outline how one can use the properties of this metric to give a classification of auto-morphisms of F_n. Hitchcock Hall 0324 Department of Mathematics math@osu.edu America/New_York public
Description

Title:  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 Teichmüller metric on the Teichmüller space. I will then outline how one can use the properties of this metric to give a classification of auto-morphisms of F_n.

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