  In this paper, we present a divergence-conforming discontinuous Galerkin
finite element method for Stokes eigenvalue problems. We prove a priori error
estimates for the eigenvalue and eigenfunction errors and present a robust
residual based a posteriori error estimator. The a posteriori error estimator
is proven to be reliable and (locally) efficient in a mesh-dependent
velocity-pressure norm. We finally present some numerical examples that verify
the a priori convergence rates and the reliability and efficiency of the
residual based a posteriori error estimator.
