The FCC-ee is a next generation circular collider proposed for the post-LHC era at CERN. Its principal motivation is to study the properties of the Higgs boson; however, it would also have the capability of operating at very high luminosity on, and around, the Z pole, and would allow a data sample to be collected five orders of magnitude larger than that accumulated at LEP. I shall present the exciting and powerful physics case for such a programme, with emphasis on the improvements in systematic control with respect to LEP that are required to exploit fully this huge data set. It is concluded that the ability of the FCC-ee to operate as a Z factory adds enormous value to the physics potential of the FCC project. I will also briefly review the other physics goals of the project, and its status.
Axion-gluon coupling induces small oscillations in nuclear quantities, such as nucleon mass, when the axion is the background dark matter. In this talk, I will discuss some of the alternative ways to search for axion-gluon coupling with atomic spectroscopy, interferometry, and accelerometry.