The coming decade will have a main goal for particle physics: discovery and understanding of the alleged new physics beyond the Standard Model (SM) which has to be present at the TeV scale if it is to provide the needed ultraviolet completion of the SM for the stabilisation of its electroweak breaking energy scale. In these lectures I discuss why the dark matter issue represents the best hope we have to shed light on such TeV new physics among the various items (neutrino masses, cosmic matter-antimatter asymmetry, inflation, dark energy) of the astroparticle road to new physics. In particular, I will emphasize the complementary role of the LHC physics and the dark matter searches in our thirty-year old quest for low-energy supersymmetry signals.