  The Future Circular Collider (FCC) Study is aimed at assessing the physics
potential and the technical feasibility of a new collider with centre-of-mass
energies, in the hadron-hadron collision mode, seven times larger than the
nominal LHC energies. Operating such machine with heavy ions is an option that
is being considered in the accelerator design studies. It would provide, for
example, Pb-Pb and p-Pb collisions at sqrt{s_NN} = 39 and 63 TeV, respectively,
per nucleon-nucleon collision, with integrated luminosities above 30 nb^-1 per
month for Pb-Pb. This is a report by the working group on heavy-ion physics of
the FCC Study. First ideas on the physics opportunities with heavy ions at the
FCC are presented, covering the physics of the Quark-Gluon Plasma, of gluon
saturation, of photon-induced collisions, as well as connections with other
fields of high-energy physics.
