Current Developments in Mathematics

Volume 2020

On the Painlevé conjecture

Pages: 157 – 206



Jinxin Xue (Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, China)


In this paper, we review the circle of ideas around Painlevé conjecture–the existence of noncollision singularities i.e. noncollision finite time blowup solutions, in Newtonian $N$-body problem.

This work is supported by NSFC (Significant project No.11790273) in China and Beijing Natural Science Foundation (Z180003).

Published 30 September 2022