(Proposal ID) S17A-105 (PI) Toshikawa, Jun (Proposal Title) Systematic Spectroscopy of HSC-SSP Protoclusters at z~4 (Abstract) Large-scale structure formation and galaxy evolution in high-density environments are important open issues. Direct investigations into evolutionary steps of galaxy clusters through protoclusters will enable us to address these questions. Furthermore, since galaxy clusters are growing into massive halo through the stochastic events of halo mergers, it is also necessary to make statistical sample of protoclusters to understand the diversity of protoclusters. Now, the unprecedented imaging data of the Hyper SuprimeCam Subaru Strategic Program, for the first time, allow us to make statistic study of protoclusters. A large sample of protocluster candidates were able to constructed in the ~170deg^2 HSC-Wide layer by using the same procedure, which is well established in our previous study. Then, we propose to take a systematic follow-up spectroscopy for the confirmation of ten the most plausible candidates at z ~4, which are expected to grow into > 5 x 10^{14} M_{sun} halos based on the theoretical model. From the proposed observation, we will investigate physical properties and internal structures of protoclusters by comparing with themselves as well as field galaxies. Based on these analysis from various directions, we will reveal general property and its variation of protoclusters on their growth phase.