報告人：餘國巍 (南開大學)

報告題目：Regularizable collinear periodic solutions in the n-body problem with arbitrary masses

報告摘要：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.

報告時間：2024年12月5日（星期四）11:00-12:30

報告地點：科技樓702會議室

邀請人：李骥

報告人簡介：餘國巍，南開大學陳省身數學研究所特聘研究員，國家級青年人才項目入選者。2013年在美國明尼蘇達大學獲得基礎數學博士學位，2013-2018年分别在加拿大多倫多大學、法國巴黎九大/巴黎天文台、意大利都靈大學、美國數學科學研究所（MSRI）做博士後工作。研究方向為動力系統，天體力學和變分法。論文發表在相關領域的權威期刊如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。