Global dynamics of the N-body problem

• 主讲人：Jinxin Xue（Tsinghua University）
• 举办方： Beijing-Moscow Mathematics Colloquium
• 时间： 2023-10-20 16:00 - 2023-10-20 17:00
• 地点： online

To Join Tencent Meeting：https://meeting.tencent.com/dm/ezcQfaxfy4nQ

Meeting ID：112-693-872

 

Abstract: The N-body problem is a fundamental model in classical mechanics. It continues to play an important role in modern physics and mathematics due to its simplicity and richness of dynamical behaviors such as the existence of chaos, noncollision singularities, etc. In this talk, we give an overview of the dynamics of the N-body problem and explain our work on the existence of noncollision singularities and superhyperbolic orbits.

 

Bio: Jinxin Xue, Xiaomi endowed professor of the mathematics department of Tsinghua University. He got his bachelor degree from Nanjing University in 2008, and PhD. from University of Maryland in 2013. He was a Dickson instructor at University of Chicago from 2013-2017.  He is interested in dynamical systems, geometric flows and symplectic topology etc. He solved the Painleve conjecture in celestial mechanics that has been open for more than 100 years and the Arnold diffusion conjecture that has been open for more than half a century. He has published papers on top journals such as Ann. Math, Acta Math, etc.