Raul Ures教授做Colloquium第六十三期讲座

2022年12月30日下午，应国家天元数学东南中心与厦门大学数学科学学院邀请，南方科技大学Raul Ures教授线上为我院师生做了题为《The ergodicity conjecture in dimension 3》的Colloquium讲座。本次讲座由厦门大学数学科学学院吴伟胜教授主持。

本次报告中, Raul Ures教授首先介绍了上世纪90年代Pugh和Shub提出的开稠保体积部分双曲微分同胚的遍历性猜想，以及Hertz-Hertz-Ures在中心一维情形下对猜想的证明。Hertz-Hertz-Ures进而猜想在三维情形下非例外的部分双曲微分同胚都是遍历的，Raul Ures教授向大家重点介绍了该猜想近些年来的进展，特别是Fenley-Potrie等在三维双曲流形和Seifert流形上部分双曲微分同胚的分类结果。报告结束后，Raul Ures教授与参加讲座的师生们展开了热烈的讨论，并耐心地解答了师生们提出的问题。

专家简介：Raul Ures is an Uruguayan mathematician working in dynamical systems and ergodic theory. He did his undergraduate studies in Uruguay and obtained his PhD at IMPA, Brazil. After that he developed most of his academic career in Uruguay until 2016 when he joined SUSTech. He is currently a professor at SUSTech and is an A-level researcher in the Peacock program of Shenzhen City. He has published research papers in Acta Math., Invent. Math., Duke Math. J., etc.