  We propose a multigrid method to solve the linear system of equations arising
from a hybrid discontinuous Galerkin (in particular, a single face
hybridizable, a hybrid Raviart--Thomas, or a hybrid Brezzi--Douglas--Marini)
discretization of a Stokes problem. Our analysis is centered around the
augmented Lagrangian approach and we prove uniform convergence in this setting.
Numerical experiments underline our analytical findings.
