Geometry, Topology and Dynamics Seminar
Victoria Sadovskaya
Penn State University
Continuous amenable reduction for cocycles with one exponent.
Abstract: A linear cocycle over a diffeomorphism f of a manifold M is
an automorphism of a vector bundle over M that projects to f.
An important example is given by the differential Df or its
restriction to an invariant sub-bundle. We consider Holder
continuous linear cocycles over hyperbolic and partially
hyperbolic diffeomorphisms. We describe the structure of fiber
bunched cocycles with one Lyapunov exponent. This result can be
viewed as a continuous version of Zimmer's amenable reduction.
Notice Special Day and Time. Room changed to 712.
Tuesday March 5, 2013 at 2:00 PM in SEO 712