Seminar Event Detail


Complex Analysis, Dynamics and Geometry

Date:  Monday, September 16, 2013
Location:  3096 East Hall (4:00 PM to 5:00 PM)

Title:  Dynamical degrees and Thurston's Theorem

Abstract:   Given a postcritically finite rational map on the Riemann sphere with exactly two critical points, both of which are periodic, we manufacture an associated rational map on n-dimensional projective space that arises in the setting of Thurston's topological characterization of rational maps. We then lift the dynamical system to a particular blow-up of projective space obtaining a map which is algebraically stable; that is, we can readily compute its dynamical degrees, which are fundamental dynamical invariants. If time permits, we will discuss possible connections between these numbers and Thurston's theorem.

Files:


Speaker:  Sarah Koch
Institution:  Michigan

Event Organizer:     

 

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