
## 16. Local Global Principle for arboreal Galois representations

1. #### Problem 16.1.

Given an arboreal Galois representations over $\mathbf Q_p$ (for all or some $p$) what are some nonobvious, sufficient, or necessary conditions under which all of these come from some global representation attached to some $f?$

Cite this as: AimPL: The Galois theory of orbits in arithmetic dynamics, available at http://aimpl.org/galarithdyn.