Location: Zoom (ID: 822 0642 3584, Password: 822747)

Abstract: In the talk, I will sketch the idea of the proof of the following result.  Suppose f is a rational map with bounded type Siegel disks such that any infinite critical orbit intersects either the closure of some bounded type Siegel disk or the basin of some attracting periodic point.  Suppose additionally the Julia set J(f) is connected. Then J(f) is locally connected.  This was previously proved under the assumption that the boundaries of attracting bastions do not intersect the boundary of any Siegel disk. 

个人简介：张高飞，1973年出生，1993年毕业于西安电子科大应用数学系。2002年毕业于纽约城市大学获博士学位。2004年入职南京大学至今。教授，博士生导师。研究方向为复动力系统。