Jane Hawkins (UNC-CH), Ergodic Theory and Dynamical Systems

Title:  Dynamical systems and Julia sets on the real projective plane

Abstract:   This talk is based on joint work with Sue Goodman.   We discuss analytic maps of the sphere that project to well-defined maps on the nonorientable real surface RP2 . We parametrize all maps with two critical points as a sphere map, and study the moduli space associated to these maps.  We look at some dynamics and Julia sets on RP2, and mention an open problem relating to the existence of Herman rings in this setting.