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Topology/Geometry Seminar

Partially hyperbolic diffeomorphisms in dimension 3

Sergio Fenley (Florida State & Princeton)

Location:  Hill 525
Date & time: Tuesday, 13 February 2018 at 3:30PM - 4:30PM

Abstract:  These diffeomorphisms exhibit weaker forms of hyperbolicity and are extremely common. Such a diffeomorphism f has stable, unstable and center bundles invariant under df. This is an very intense area of research currently. We review basic examples, conjectures. We also talk about dynamical coherence - this has to do with the integrability of some of the bundles above - unlike the strictly hyperbolic case, there are many non integrable recent examples. This leads to some recent counterexamples of a main conjecture.