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Canonical hierarchical decompositions of free-by-cyclic groups

Topology Seminar
Tue, September 26, 2023
1:50 pm - 2:50 pm
MW 152

Title:  Canonical hierarchical decompositions of free-by-cyclic groups

Speaker:  Jean Pierre Mutanguha (Princeton)

Speaker's URL:  https://mutanguha.com/

Abstract:  Free-by-cyclic groups can be defined as mapping tori of free group automorphisms. I will discuss various dynamical properties of automorphisms that turn out to be group invariants of the corresponding free-by-cyclic groups (e.g. growth type). In particular, certain dynamical hierarchical decompositions of an automorphism determine canonical hierarchical decompositions of its mapping torus.

URL associated with Seminar:  https://sites.google.com/view/topoandggt/home