中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人：Prof. Yunping Jiang (CUNY)
题 目：Holomorphic Motions, Quasiconformal Motions and Teichmuller Theory
时 间：2016.10.25（星期二）, 16:00-17:30
地 点：数学院南楼N913室
Abstract:
In this talk, I will review the recent development in the theory of holomorphic motions over a simply connected domain or over a multi-connected Riemann surface.When the parameter space is a multi-connected Riemann surface, I will talk about how the extension problem relates to the mondromy between the fundamental group of this Riemann surface and the mapping class group of the n-puncture sphere.
I will also talk a counter-example we constructed in Sullivan-Thurston’s quasiconformal motion theory and based on this counter-example, our definition of a tame quasiconformal motion. Finally, I will talk the universal property for tame quasiconformal motions and applications in Teichmuller theory.
