题目: Polynomial and rational dynamical systems on the field of p-adic numbers and its projective line
时间：2018年8月22日上午10:00
地点：数学楼623
摘要: Polynomials and rational maps are studied as dynamical systems on the field of p-adic numbers and its projective line. Polynomials with p-adic integer coefficients and rational maps with good reduction are 1-Lipschitz and their dynamical structures are described by a decomposition of the space into finitely many periodic orbits, countably many minimal components and the attracting basins of the aforementioned two parts. For expanding polynomials and rational maps, we can usually find subsystems which are topologically conjugate to subshifts of finite type. The talk is based on a series of works joint with Ai-Hua Fan, Lingmin Liao, Yue-Fei Wang.
报告人简介：凡石磊，华中师范大学数学与统计学学院副教授，2003年-2007年就读于吉林大学数学学院，2012年在中科院数学与系统科学院数学所获博士学位，导师是王跃飞研究员，2012-2014年在中科院数学与系统科学院数学所开展博士后工作，2014年6月起任华中师范大学数学与统计学学院副教授至今。主要从事遍历论、复分析及复动力系统、代数动力系统等领域的研究，曾多次赴法国开展学术交流合作，目前已在 J. Funct. Anal. Adv. Math. J. Differential Equations J. Number Theory等著名杂志发表文章十余篇，2017年入选湖北省“楚天学者计划”楚天学子。
