"LogarithmicCapacity and Rational Lemniscates"
Abstract: First we shall present some basic facts about logarithmic capacity, analytic capacity and Green function in the complex plane. Motivated by considerations related to the semi-additivity property of analytic capacity, we will study the lemniscates of good rational functions. We will prove a reflection principle for the harmonic measure of rational lemniscates and we will give estimates for their capacity and the capacity of their components. This is joint work with Thomas Ransford.
Date: Monday, March 23, 2015
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.