These are the Proceedings of the scientific activities of CORFU2015, the 15th Hellenic School and Workshops on Elementary Particle Physics and Gravity, which took place from 1st to 27th September 2015. The School and Workshops were hosted by the European Institute for Sciences and their Applications (EISA) in the conference center of the ex-Royal Palace garden of Mon Repos in Corfu, Greece. The scientific activities took place during the series of four events, the Summer School and Workshop on the Standard Model and Beyond, the Workshop on Particles and Cosmology, the Humboldt Kolleg on Open Problems in Theoretical Physics: the Issue of Quantum Space-Time and the Workshop on Noncommutative Field Theory and Gravity.
We refer to the website:
http://www.physics.ntua.gr/corfu2015/
for all organizational and practical details.

These proceedings are dedicated to the memory of Professor Guido Altarelli, a great scientist, strong supporter of the Corfu meetings and personal friend of many of us, whose passing is indeed a great loss for us. From our hearts we send our deepest thoughts of sympathy and support to his family, loved ones and scientific collaborators.