中科院数学与系统科学研究院

数学研究所

学术报告会

报告人：  曾劲松（广州大学）

题  目：Invariant graphs of Newton maps

时  间：2017.08.22（星期二），14 :30-16:30

地  点：数学院南楼N902室

摘  要：In this talk, I will construct certain invariant graphs of Newton rational maps. The approach is quite different from that of Mikulich-Ruckert-Schleicher's. Based on these graphs and KSS-theory and Kahn-Lyubich Lemma, one can prove that the boundaries of all fixed Fatou components of Newton maps are locally connected, which generalizeds Pascale's result on cubic Newton maps.