报告题目：Herman's converse KAM mechanism revisited

报告时间：2025年12月5日（周五）14:00-15:00

报告地点：腾讯会议 421-504-580

主办单位：国产自拍

报告摘要：In his celebrated construction of a counterexample to the KAM theorem in 1983, Herman introduced a perturbation of an integrable system consisting of two components: a hyperbolic term and a bump function. He also remarked that it was unclear whether the bump function was truly necessary. In this talk, I will show that the bump function is indeed necessary for more natural hyperbolic terms.

主讲人简介：王林，北京理工大学数学与统计学院教授，博士生导师。主要从事Hamilton动力系统的研究，相关成果发表于Journal de Mathematiques Pures et Applique, Communications in Mathematical Physics, Geometric and Functional Analysis, Communications in Partial Differential Equations，Journal of Differential Equations等学术期刊。主持和参加重大、重点等多项国家自然科学基金，2021年获国家优秀青年基金资助。