Most of the baryonic matter in the Universe is composed of ionized or partially ionized gas permeated by magnetic fields (i.e. a plasma state). Magnetic fields therefore play a key role in its evolution. This conference will be the fifth edition of the series "Magnetic Fields in the Universe : from Laboratory and Stars to the primordial Structures" that, since 2004, have brought together experts involved in Astrophysical, Space and Laboratory Plasmas and young researchers . The goal of this series is to provide ample exchange of the new results and recent progress in these distinct but closely related research areas and provide the new generations with a broad perspective of the field. It has allowed cross-pollination of disciplines.