The legacy of the LHC physics programme will be the discovery and the characterisation of the Higgs boson properties as well as the indication that signals of new physics around the TeV scale are, at best, elusive.
The future circular collider, (FCC), hosted in a 100 km tunnel at CERN, builds on this legacy. The e+e- collider (FCC-ee) would operate at multiple centre of mass energies, producing 10^12 Z bosons and over 10^6 Higgses. The 100 TeV pp collider (FCC-hh) is designed to collect a total luminosity of 20 ab-1, corresponding to the production of e.g. more than 10^10 Higgs bosons and explore physics at the energy frontier. After introducing the FCC project, I will describe the physics reach of the FCC-hh as well as the challenges and solutions for designing a hadron collider experiment operating in the extreme luminosity environment of the FCC-hh (L=30e34 cm-2 s-1).
