Dynamics Seminar

Event Information Parabolic skew-products and parametrization
15:10 on Monday October 24, 2016
16:00 on Monday October 24, 2016
BA6183, Bahen Center, 40 St. George St.
Liz Vivas

Ohio State University

It is a classical result that parametrizaion of unstable manifolds on hyperbolic holomorphic maps can be obtained by a limit of iterates of the map composed with an appropriate inverse action. In this talk I will generalize this result for skew-product invariant holomorphic maps that are parabolic. I will first give an overview of the results known in one and several complex dimensions.