"LogarithmicCapacity and Rational Lemniscates"
By
STAMATIS POULIASIS
(SABANCI UNIVERSITY)
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
Time: 14:40
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the
seminar.