(Proposal ID) S17B-136 (PI) Umehata, Hideki (Proposal Title) Unveiling Galaxy Assembly along the IGM Filaments at a proto-cluster core (Abstract) The current framework of the cold dark matter universe predicts that matter assembles in filaments, and at the intersection of which galaxies form and evolve. Directly imaging this intergalactic medium (IGM) to test this fundamental prediction is a major goal of observational astronomy. Recently we have found a convincing candidate of such "cosmic web" in the surroundings of a z~3.09 proto-cluster core. Combining Subaru narrow-band Ly alpha image with ALMA and Chandra data, we discovered very extended Ly alpha filaments "illuminated" by numerous starbursts and AGNs. This suggests that we are seeing rapid growth of galaxies and SMBHs, fueled by cold intergalactic gas along the filaments. The Ly alpha filament will be mapped in 3D using VLT/MUSE. Here we propose MOSFIRE K-band spectroscopy of the ALMA-Chandra-MUSE deep field in SSA22. The observation will enable us to trace the structure and kinematics of the "cosmic web" combined with MUSE data. We will also uncover the interaction between galaxies and cosmic web, detecting energetic outflows.