报告题目：Existence of hyperbolic motions to a class of Hamiltonians and generalized N-body system via a geometric approach

报 告 人：周渊教授（北京师范大学）

报告时间：2023年11月28日  9:00-10:00

报告地点：理学院五楼数学研究中心报告厅528

报告摘要：

For the classical N-body problem in R^d with d≥2, via KAM theory Maderna-Venturelli in their remarkable paper [Ann. Math. 2020] proved the existence of hyperbolic motions with any positive energy constant, starting from any configuration and along any non-collision configuration. We give a geometric proof for this. Moreover, our geometric approach works for more potential which is lower semicontinuous and decrease to 0 not so slowly away from collisions.

报告人简介：

周渊，北京师范大学教授，国家自然科学基金优秀青年基金与杰出青年基金获得者。主要从事函数空间、拟共性映照、度量空间上的分析、无穷调和、退化型非线性椭圆/抛物方程等研究，已在《J. Eur. Math. Soc.》《Adv. Math.》《J. Math. Pures App1.》《Arch. Ration. Mech. Ana1.》等国际权威数学杂志发表学术论文五十多篇。