3:00 pm Friday, January 20, 2017
Groups & Dynamics: Shapes of polynomial Julia sets by Kathryn Lindsey (U. of Chicago) in RLM 11.176
The filled Julia set of a complex polynomial P is the set of points whose orbit under iteration of the map P is bounded. William Thurston asked "What are the possible shapes of polynomial Julia sets?" For example, is there a polynomial whose Julia set looks like a cat, or your silhouette, or spells out your name? It turns out the answer to all of these is "yes!" I will characterize the shapes of polynomial Julia sets and present an algorithm for constructing polynomials whose Julia sets have desired shapes. (This is a talk for an Assistant Professor position) Submitted by
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