  In these Lectures I review possible constraints on particle physics models,
obtained by means of combining the results of collider measurements with
astrophysical data. I emphasize the theoretical-model dependence of these
results. I discuss supersymmetric dark matter constraints at colliders (mainly
LHC) in various theoretical contexts: the standard
Cosmological-Constant-Cold-Dark-Matter (Lambda-CDM) model,
(super)string-inspired ones and non-equilibrium relaxation dark energy models.
I then investigate the capability of LHC measurements in asserting whether
supersymmetric matter (if discovered) constitutes part, or all, of the
astrophysical dark matter. I also discuss prospects for improving the
constraints in future precision facilities, such as the International Linear
Collider.
