微分动力系统报告

报告题目: Measurable and Topological Dynamics of Rank-One Systems

报告人：Su GAO（南开大学）

时间：2021-12-24     14：00--15：00

地点：沙河主楼E405

摘要：In this talk I will give a survey of results about rank-one measure-preserving transformations (MPT) and their corresponding topological dynamical systems. For topological rank-one subshifts, the topological conjugacy problem has been completely solved, namely, an explicit condition in terms of the cutting and spacer parameters has been obtained. In contrast, the isomorphism problem for rank-one MPTs is still open. I will talk about a characterization, in terms of cutting and spacer parameters, of a rank-one MPT to be isomorphic to an odometer, and Sarnak’s conjecture for their corresponding rank-one subshifts.

报告人简介：Su Gao recently joined the School of Mathematical Sciences of Nankai University as a University Chair Professor. Previously he was a Regents Professor of Mathematics and Dean of the College of Science at the University of North Texas. He earned his BS from Peking University, MS from Chern Institute of Mathematics, PhD from UCLA, and was a postdoc at Caltech. He has published in top mathematics journals such as Inventiones Mathematicae, Advances in Mathematics, and Memoirs of the American Mathematical Society. He has published over 50 articles and a book Invariant Descriptive Set Theory.

邀请人：文晓、张金华