### Dynamics of splittings of free-by-cyclic groups

Ergodic Theory and Dynamical Systems Seminar

22nd February 2018, 3:00 pm – 4:00 pm

Howard House, 4th Floor Seminar Room

I will discuss some dynamical aspects of the BNS-invariant for certain classes of free-by-cyclic groups, following an analogy with fibered 3-manifolds. In the talk, I will explain what the BNS invariant of a free-by-cyclic group G is, how it organizes the monodromy endomorphisms for different splittings of G as ascending HNN extensions, and how the dynamics of these endomorphisms are related to each other. This is joint work with Spencer Dowdall and Ilya Kapovich.

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