EVENT DETAILS AND ABSTRACT

Title: Thurston eigenvalues in complex dynamics
Speaker: Holly Krieger
Speaker Info: University of Cambridge
Brief Description:
Special Note:
Abstract:

To any rational map f of the Riemann sphere, we can associate a collection of invariants given by the eigenvalues of the associated pushforward operator on the space of quadratic differentials with simple poles. Recently, Buff-Epstein-Koch proved that many of the resulting invariants are dynamical; in particular, they arise from multipliers of periodic cycles of f. We will discuss the possible dynamical significance of the remaining invariants, focusing on a family of quadratic rational maps.