会议主题：武汉理工大学数学系学术报告 

会议地点：数学统计楼213教室 

会议时间：2024/6/18 10:00-11:30 

报告人：金龙  副教授  清华大学 

题目：Counting Pollicott-Ruelle resonances for Axiom A flows  

摘要：In 1980's, Pollicott and Ruelle independently introduced the concept of resonances for hyperbolic dynamical systems, for example, Smale's Axiom A flows. They are the poles of the meromorphic continuation of the Laplace transform of the correlation function and thus connected to the mixing property of the system. They are also closely related to the zeros and poles of the dynamical zeta function which is connected to the distribution of periods for closed orbits in the system. In the special cases of Anosov flows, their distributions have been well studied since the work of Faure-Sjostrand in 2010. In this talk, we present the first counting result on Pollicott-Ruelle resonances for general Axiom A flows satisfying strong transversal condition. In particular, we give a polynomial upper bound and a sublinear lower bound on the number of resonances in strips. This is based on joint work with Tao Zhongkai. 

报告人简介：金龙，2006年参加IMO并获得金牌，2010年本科毕业于北京大学数学科学学院，2015年获得加州大学伯克利分校数学系博士学位。曾在哈佛大学和普渡大学任博士后、助理教授，现任清华大学丘成桐数学科学中心副教授。研究方向为微局部分析与半经典分析，谱理论与散射理论，近年来在量子混沌领域取得重要突破，在ActaMath、JAMS、CMP等顶尖期刊发表多篇学术论文。