Primitive tuning via quasiconformal surgery
报告人：沈维孝 教授（复旦大学）
时间：2020-11-13 15:00-16:00
地点：英国威廉希尔公司理科一号楼1114
Abstract: In 1980s, Douady-Hubbard developed a complex counterpart of the Feigenbaum renormalization theory for quadratic-like maps and used this theory to prove existence of small copies in the Mandelbrot set. Inou and Kiwi have extended most of Douady-Hubbard's theory to higher degree polynomial-like maps, but a key surjectivity property was left as a conjecture. We will show how to use quasiconformal surgery to prove this surjectivity conjecture by Inou-Kiwi, under a primitive assumption. This is a joint work with Wang Yimin.
