中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Dr. Matthieu Arfeux (Stony Brook University, USA)
题 目：Playing with trees in holomorphic dynamics
时 间：06.19（星期五）, 14:30--16:30
地 点：数学院南楼N902室
摘 要：We are interested in the family of cubic polynomials with a critical point of a fixed exact period n. John Milnor conjectured that this curve is connected.
The proof exposed for the case n=4 explicit a very unexpected relation between two trees that have been introduced in holomorphic dynamics to encode the combinatorics of two completely different kind of dynamical systems: the escaping trees (DeMarco-McMullen-Pilgrim) and Hubbard trees. In order to explicit this link, we principally use Cui Guizhen's deformation ideas.
We will be attentive during this talk to the non experts and we will recall the principal tools.
