OU Dynamical Systems seminar

The Dynamical Systems group at the Open University is organising an online seminar series.  

Our group's interests include -but are not restricted to:  Aperiodic Order,  Computer-assisted proofs in dynamical systems,  Energy systems modelling,  Holomorphic Dynamics,  Hyperbolic Geometry and Cocycle Dynamics,  Renormalisation in dynamical systems and its applications,  Symbolic Dynamics,  Tiling Dynamical Systems,  and Topological Dynamics.

Upcoming seminars

• Wednesday 11 March 2.00pm  (online)

Speaker: Niki Myrto Mavraki, University of Toronto

Title: Preperiodic points in families of rational maps

Abstract: Recently, Gao and Habegger have established the ‘relative Manin-Mumford conjecture’ concerning the distribution of torsion points in families of abelian varieties. Inspired by the analogy between torsion

points in abelian varieties and preperiodic points in a dynamical system, Zhang has proposed a dynamical analog of the Manin-Mumford conjecture. For instance, when can two rational maps share infinitely many common preperiodic points? In this talk we discuss a conjectural dynamical relative Manin-Mumford question, concerning the distribution of preperiodic points of families of rational maps and some of its applications. Though related questions have been considered in the dynamical setting by various authors, many problems remain unsolved. The talk will feature results with Harry Schmidt and with Laura DeMarco.

Past seminars and seminar schedule