The glue that binds us all - physics at a future Electron Ion Collider

 In this talk I will give an overview about the physics case of a future US Electron-Ion Collider (EIC). Realizations of such a machine are planned at Brookhaven National Laboratory as a successor to the RHIC collider (eRHIC) and at Jefferson Lab (MEIC), building on the CEBAF facility. Measurements at an EIC will help to find answers to outstanding puzzles in the understanding of the many-body dynamics of quarks and gluons which lies at the origin of nearly all visible matter in the universe. I will introduce planned key measurements at an EIC which cover high resolution images of the momentum, spatial, spin and orbital distributions of gluons and sea quarks in light- and heavy nuclei as well as aspects of electro-weak physics. I will also discuss some of the remaining challenges for phenomenology at such a machine as well as avenues of ongoing and future theoretical developments.