题目: Counting Pollicott-Ruelle resonances for Axiom A flow
报告人: 金龙 （清华大学）
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.
时间：2025年12月12日，10:00-11:00
地点：格物楼315
报告人简介：
金龙，现任清华大学数学中心副教授。2006年获第47届国际数学奥林匹克竞赛（IMO）金牌，2010年本科毕业于北京大学，2015年博士毕业于加州大学伯克利分校，导师为Maciej Zworski。2015-2018年先后在哈佛大学和普渡大学博士后工作。2018年起在清华大学工作，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。
