April 6, 2022
4:15PM
-
5:15PM
Hitchcock Hall 0324
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2022-04-06 15:15:00
2022-04-06 16:15:00
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
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America/New_York
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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
America/New_York
public
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.
