报告人：金龙 副教授（清华大学）

报告题目： Counting Pollicott-Ruelle resonances for Axiom A flows

报告时间：2026年5月8日（星期五）16:30

报告地点：理工楼1201

报告摘要：

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.

个人简介：

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。 2025年入选国家高层次人才计划。研究领域为微局部分析，谱理论和散射理论。主要工作发表于Acta Math.，Journal of AMS, Math. Ann., Comm. Math. Phys., Trans. AMS, Analysis & PDE等。