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 ndimensional projective space that arises in the setting of Thurston's topological characterization of rational maps. We then lift the dynamical system to a particular blowup 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.
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Speaker: Sarah Koch
Institution: Michigan
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