The conference will focus on modern trends in superconductivity in correlated electron systems. The field of superconductivity has witnessed yet another rapid developing in the last few years. There has been a strong revival of interest in superconductivity in the cuprates, primary due to new ideas about the interplay between superconductivity and competing orders and a plethora of new high-quality experimental results on photoemission, X-ray scattering, neutron scattering, resistivity and Hall conductivity, NMR, etc. There have been exciting new developments in the area of superconductivity in Fe-pnictides and Fe-selenides, including the observation of superconductivity with Tc above 100K in monolayers of FeSe and a set of new ideas about superconductivity in multi-orbital systems, the interplay between superconductivity and competing orders (e.g., nematicity), and the role of spin-orbit coupling. In parallel, superconductivity has been extensively studied in other monolayers, including graphene. There have been exciting new developments on superconductivity under external conditions, such as light-induced superconductivity and superconductivity under pressure. Another area of rapid progress, both experimental and theoretical, is topological superconductivity. Besides, there have been substantial advances in the last 1-2 years in the search of new superconducting materials with tailored properties. The conference will focus on all these exciting new developments. In line with Gordon conferences tradition, we will allocate ample time for discussions, and on Thursday afternoon discuss the very latest experimental and theoretical advances in the area.