Invariant graphs of Newton maps

2017.08.22（星期二），14 :30-16:30

点：数学院南楼N902

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.