讲座题目：How to construct and find totally ramified (critical) rational maps? 主讲人🧑🏻🤝🧑🏻：胡 骏 教授 主持人♥︎：曹永罗 教授 开始时间：2019-10-08 15:40:00 讲座地址：闵行数学楼102报告厅 主办单位✍🏻：数学科学学院
报告人简介： 胡骏教授师从Dennis Sullivan教授，美国纽约城市大学教授🫅🏼🧒🏿，主要的研究领域是低维动力系统和黎曼曲面上不同复结构组成的Teichmuller空间的不同描述🧝🏼，发表论文近40篇。美国自然科学基金数学博士后基金获得者。曾是加州伯克来大学数学研究所、法国高等学术研究所🧝🏼、马里兰大学帕克分校✷、新泽西州立罗格斯大学纽瓦克分校、纽约州立大学石溪分校和上海纽约大学的访问者或访问教授。 报告内容： By a totally ramified (critical) rational map we mean a rational map f satisfying that each pre-image of every critical value under f is a critical point. Furthermore, a totally ramified rational map f is said to be regularly ramified provided that for every critical value v, f has the same local degrees at all preimages of v. Up to pre- and post-compositions by Mobius transformations, regularly ramified rational maps correspond to quotient maps of finite Klein groups. A natural problem is to explore the existence of those totally ramified rational maps that are not regularly ramified. This question becomes more inspiring since it has been proved that one type of Fatou components can not appear for this type of rational maps. In this talk, I present solution to this question. This is a joint work with Weiwei Cui. |
