Speaker: Boris Hasselblatt (Tufts University)
Time: Dec 10, 2018, 10:30-11:30
Location: Room 307, Lychee Hills 2#
Abstract:
It is ``well-known and elementary'' that Anosov flows have trivial centralizer (Ghys); we (Bakker, Fisher and Hasselblatt) prove this for transitive expansive flows. Our main result gives a residual set of non-Anosov $C^\infty$ Axiom A flows with no cycles such that diffeomorphisms commuting with them are time-$t$ maps of the flow. This requires a study of the Lie group of commuting diffeomorphisms using the flow dynamics on the invariant "foliations." The novelty is that we study flows and under weaker dynamical assumptions.
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