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Canonical forms for free group automorphisms

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If you have a question about this talk, please contact Dr Rachael Boyd .

The Nielsen–Thurston theory of surface homeomorphisms can be thought of as a surface analogue to the Jordan canonical form. I will discuss my progress in developing a similar canonical form for free group automorphisms. (Un)Fortunately, free group automorphisms can have arbitrarily complicated behaviour. This is a significant barrier to translating arguments that worked for surfaces into the free group setting; nevertheless, the overall ideas/strategies do translate!

This talk is part of the Special Geometric Group Theory Seminar series.

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