Dynamical Systems Seminar

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

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.
Date: Tuesday, November 12, 2019
Time: 1:00pm
Where: Lunt 105
Contact Person: Laura DeMarco
Contact email: demarco@northwestern.edu
Contact Phone:
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