"On Non-Linear Pseudo Anosov map and parabolic flows"
Speaker: Paolo Giulietti, Scuola Normale Superiore
Abstract: I will present recent results (and a work-in-progress) on ergodic averages and cohomological equations related to parabolic dynamics by means of hyperbolic renormalizations, exploiting transfer operator techniques on anisotropic Banach spaces. After a brief introduction, I will focus on parabolic flows on surfaces with singularities that can be renormalized by nonlinear pseudo Anosov transformations. Time permitting, I will show how the Banach spaces constructed are suitable to study averages of the Teichmuller flow. Joint work with M. Artigiani.
Room Reservation Information
Room Number: 114 McAllister
Time: 3:40pm - 4:40pm