Title: Capacity, integers, and dynamics
Speaker: Laura DeMarco
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Abstract:
The capacity of a compact set in the plane is a measure of its size. Algebraic integers are solutions to polynomial equations with integer coefficients. I will discuss the Fekete-Szego Theorem (1955) that relates these two concepts. If there is time, I'll explain how it connects to the study of complex polynomial dynamics.Date: Friday, February 20, 2015