Local entropy theory and combinatorics
报告专家:李寒峰 教授(重庆大学)
报告时间:5月14日(周四)16:00-17:00
报告地点:国家天元数学西南中心516
报告摘要:
In 1995 Glasner and Weiss showed that if a continuous action of a countably infinite amenable group on a compact metrizable space X has zero entropy, then so does the induced action on the space of Borel probability measures on X. I will discuss a strengthening of the Glasner-Weiss result, in the framework of local entropy theory, based on a new combinatorial lemma. I will also present an application of the combinatorial lemma to the local theory of Banach spaces. This is based on a joint work with Kairan Liu.
专家简介:
李寒峰,男,美国数学学会会士、国家级高层次人才,重庆大学数学与统计学院教授。李寒峰教授主要从事泛函分析,算子代数,非交换几何,动力系统和组合数论的研究。他的工作开创泛函分析,算子代数,非交换几何在动力系统的深刻应用,是当今国际上动力系统领域的顶尖学者。他在国际顶尖数学期刊Acta Mathematics, Annals of Mathematics, Journal of American Mathematical Society, Inventiones Mathematicae等发表了多篇学术论文。
邀请人:张世清、吕琦

