<div dir="ltr"><div style="font-size:12.8000001907349px">Dear All, </div><div style="font-size:12.8000001907349px"><br></div><div style="font-size:12.8000001907349px"> Stamatis Pouliasis from Sabanci university will talk this Thursday at the Mimar Sinan math department's weekly seminar. </div><div style="font-size:12.8000001907349px"><br></div><div style="font-size:12.8000001907349px">Title: <b><i><span lang="EN-US" style="font-family:Arial;letter-spacing:0pt;color:rgb(84,84,84)"></span></i></b>Logarithmic capacity and rational lemniscates<br></div><span style="font-size:12.8000001907349px">Abstract: </span><span style="font-size:12.8000001907349px">First we shall present some basic facts about logarithmic capacity, analytic capacity </span><span style="font-size:12.8000001907349px">and Green function in the complex plane. Motivated by considerations related to the </span><span style="font-size:12.8000001907349px">semi-additivity property of analytic capacity, we will study the lemniscates of good </span><span style="font-size:12.8000001907349px">rational functions. We will prove a reflection principle for the harmonic measure of </span><span style="font-size:12.8000001907349px">rational lemniscates and we will give estimates for their capacity and the capacity</span><br style="font-size:12.8000001907349px"><span style="font-size:12.8000001907349px">of their components. This is joint work with Thomas Ransford.</span><br><div><span style="font-size:12.8000001907349px"><br></span></div><div><span style="font-size:12.8000001907349px">Place : 106, Bomonti campus, MSGSU</span></div><div><span style="font-size:12.8000001907349px">Time : 16:00, Thursday, April 30</span></div><div><span style="font-size:12.8000001907349px"><br></span></div><div><span style="font-size:12.8000001907349px">Best,</span></div><div><span style="font-size:12.8000001907349px">Mohan</span></div></div>
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