EVENT DETAILS AND ABSTRACT

Title: Linear cocycles over hyperbolic systems: pinching, conformality, and cohomology
Speaker: Victoria Sadovskaya
Speaker Info: University of Southern Alabama
Brief Description:
Special Note:
Abstract:

We consider a linear cocycle over an Anosov diffeomorphism $f$, i.e. an automorphism of a vector bundle that projects to $f$. An important example is given by the differential $Df$ or its restriction to an invariant sub-bundle. For Holder continuous cocycles satisfying pinching or periodic data assumptions, we establish existence and continuity of measurable invariant sub-bundles and conformal structures. We obtain criteria for a cocycle to be isometric or conformal in terms of its periodic data and discuss applications of such results.