深圳大学四十周年校庆暨数学学科四十周年庆

荔园学者Colloquium第1期

讲座题目: Classifying Twisted Exponentials

主讲人：张高飞 教授 （南京大学）

讲座时间：2023年3月13日11：00-12：00

讲座地点：汇星楼金融科技学院教室4报告厅

内容概述：In the 1980s, Hubbard posed the twisted rabbit problem-classifying certain branched coverings by polynomials to which they are equivalent. More specifically,considering quadratic polynomials  with 0 being 3-periodic. There are totally three such quadratic polynomials. The one with c ≈ −0.122561 + 0.744862i is called Douady rabbit polynomial-whose filled-in Julia set looks like a crouching rabbit. For such  let  be a curve surrounding  and  and   the Dehn twist about . Then for each , is a topological polynomial with 0 being 3-periodic and clearly has no Levy cycles. Hubbard’s twisted rabbit problem is to determine which of the three quadratic polynomials is equivalent to . The problem was solved by Bartholdi and Nekrashevych in 2006. The aim of this talk is to introduce a recent work of Xiuming Zhang on the twisting exponentials  with  being 2-periodic.

主讲人简历：张高飞，南京大学教授，博士生导师，国家杰出青年基金获得者。主要从事与复动力系统相关领域的研究，已在Invent. Math., Adv. Math.等国际著名数学杂志发表学术论文多篇。欢迎师生参加！

数学与统计学院

2023年03月06日