On the local connectivity of the Julia sets of rational maps with bounded type Siegel disks
报告人：Gaofei Zhang (张高飞) (Nanjing University)
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.
ID: 822 0642 3584,