报 告 人:冀诸超 博士
工作单位:索邦大学 (Sorbonne Université)
报告时间:8月23日下午4点
报告地点:学院一楼报告厅
报告摘要:
The dynamics of Topological Collet-Eckmann rational maps on Riemann sphere are well understood, due to the work of Przytycki, Rivera-Letelier and Smirnov. In this talk we study the dynamics of polynomial skew products of C^2. Let f be a polynomial skew products with an attracting invariant line L such that f restricted on L satisfies Topological Collet-Eckmann condition and a Weak Regularity condition. We show that the the Fatou set of f in the basin of L equals to the union of the basins of attracting cycles, and the Julia set of f in the basin of L has Lebesgue measure zero. As a consequence there are no wandering Fatou components in the basin of L (We remark that for some polynomial skew products with a parabolic invariant line L, there can exist a wandering Fatou component in the basin of L).
报告人简介:
姓名:冀诸超
学位:2012-2016,本科学位,武汉大学 (数学弘毅班)
2016-2017,硕士学位,巴黎南大学 (Université Paris Sud),导师:Romain Dujardin
2017-2020,博士学位在读,索邦大学 (Sorbonne Université),导师:Romain Dujardin