|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.
Speaker: Sarah Koch