报告人：余国巍 (南开大学)

报告题目：Regularizable collinear periodic solutions in the n-body problem with arbitrary masses

报告摘要：For n-body problem with arbitrary positive masses, we prove there are regularizable collinear periodic solutions for any ordering of the masses, going from a simultaneous binary collision to another in half of a period with half of the masses moving monotonically to the right and the other half monotonically to the left. When the masses satisfy certain equality condition, the solutions have extra symmetry. This also gives a new proof of the existence of Schubart orbit, when n=3.

报告时间：2024年12月5日（星期四）11:00-12:30

报告地点：科技楼702会议室

邀请人：李骥

报告人简介：余国巍，南开大学陈省身数学研究所特聘研究员，国家级青年人才项目入选者。2013年在美国明尼苏达大学获得基础数学博士学位，2013-2018年分别在加拿大多伦多大学、法国巴黎九大/巴黎天文台、意大利都灵大学、美国数学科学研究所（MSRI）做博士后工作。研究方向为动力系统，天体力学和变分法。论文发表在相关领域的权威期刊如Archive for Rational Mechanics and Analysis，Communication in Mathematical Physics，Ann. Inst. H. Poincaré Anal. Non Linéaire，Calc. Var. Partial Differential Equations，Ergodic Theory and Dynamical Systems等。