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This is the second of a series of meetings, running throughout 2018, with plenary events and intermediate periods of working group activities. The main goal of the Workshop is to review, extend and further refine our understanding of the physics potential of the High Luminosity LHC. The workshop aims to stimulate new ideas for measurements and observables, to extend the LHC discovery reach, to improve the modeling of LHC phenomena towards measurements at ultimate precision, and to prepare to exploit the HL-LHC data to the fullest possible extent. The Workshop will also provide the opportunity to begin a more systematic study of physics at the HE-LHC, a new pp collider in the LHC ring with CM energy in the range of 27 TeV.