学术报告：Recent Progress in Singular Flows

报告时间：8月23日（星期六）上午 10:00-11:00

报告地点：学院南路校区，主教107

主持人：梁超 教授

报告人：杨帆，美国 Wake Forest University，（助理）教授

报告摘要：We will discuss recent progress in the theory of singular flow. More specifically, we will focus on the ergodic theory of smooth singular star flows. Such systems can be seen as "hyperbolic flows with singularities"; among them, the most famous example is the Lorenz Attractor discovered in the 1960s. In this talk, we will consider expansiveness, continuity of the topological pressure, existence and uniqueness of equilibrium states, and their mixing properties. We will also discuss how to obtain topological information from certain ergodic properties, and present a partial answer to the spectral decomposition conjecture for singular star flows. Joint with M.J. Pacifico and J. Yang.

报告人简介：杨帆，2015年博士毕业于美国南加州大学，先后于巴西理论数学和应用数学研究所（IMPA）、里约热内卢联邦大学、俄克拉荷马大学作博士后研究，研究方向为微分动力系统与遍历论，在Trans. Amer. Math. Soc., Ann. Inst. H. Poincaré C Anal. Non Linéaire, Israel J. Math., Ergodic Theory and Dynamical Systems等知名期刊发表论文十余篇。

撰稿人：刘洁

审稿人：邓露