Global dynamics of the $N$-body problem

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.