### Abstract

We will discuss recent progress towards analyzing and constructing symplectic Lie group integrators. Potential applications for Lie Poisson systems acted upon by the coadjoint action, and other systems with a symplectic group action.

## An Isaac Newton Institute Workshop## Effective Computational Methods for Highly Oscillatory Problems: The Interplay between Mathematical Theory and Applications## Towards symplectic Lie group integrators
## AbstractWe will discuss recent progress towards analyzing and constructing symplectic Lie group integrators. Potential applications for Lie Poisson systems acted upon by the coadjoint action, and other systems with a symplectic group action. |