报告人:程涛
报告题目:Quasisymmetry and solidity of quasiconformal maps in metric spaces
报告时间:2023年9月21日 15:30
报告地点:图文中心827
报告摘要:This talk is devoted to the study of the broad problem of deriving global metric properties from local quasiconformality in metric spaces.
In particular, we show that, under certain regularity and connectivity conditions, a quasiconformal map between metric spaces is weakly $(L,M)$-quasisymmetric.
Furthermore, such a map is solid if the metric spaces are complete. These extend and generalize some well known results in Euclidean as well as metric spaces.
讲者简介:程涛,华东师范大学数学科学学院教授、博导,副院长。2007年博士毕业于复旦大学;2009年中国科学院数学与系统科学研究院数学所博士后出站。研究方向为复分析,目前主要从事高维拟共形映射的研究。主持3项国家自然科学基金(面上项目2项,青年基金项目1项),已在包括Adv. Math., Math. Z.等学术期刊发表论文十余篇。