Primitive tuning via quasiconformal surgery

開催日時
2020/01/17 金 14:00 - 17:00
場所
6号館609号室
講演者
沈 維孝 (Weixiao Shen)
講演者所属
復旦大学
概要

Using quasiconformal surgery, we prove that any primitive, postcritically-finite hyperbolic polynomial can be tuned with an arbitrary generalized polynomial, generalizing a result of Douady-Hubbard for quadratic polynomials to the case of higher degree polynomials. This solves affirmatively a conjecture by Inou and Jiwi on surjectivity of the renormalization operator on higher degree polynomials in one complex variable. This is a joint work with Wang Yimin.