AMS02 results after 4 years of data taking on the International Space Station

The AMS02 experiment is taking data on the International Space Station since May, 19, 2011. This report summarizes the key results published or presented in public conferences using the data collected in the first 4 years of the mission, trying to interpret them in terms of the latest models of Cosmic Ray (CR) propagation. In particular the fluxes of primary CR, like proton, Helium and Carbon, or of secondaries like Lithium and Boron, can be used to constraint the models and compare them with the observed anti-proton flux, to see if hints of Dark Matter (DM) can be identified. The same can be done in the lepton sector by looking at electrons and positrons. In the near future AMS02 will continue the observation of light nuclei, including isotopes like Deuterium, He-3 and He-4, and of anti-nuclei, like anti-Deuterium and anti-Helium, which represent, together with anti-protons and positrons, the golden channels in which to look for eventual Dark Matter or antimatter signals