A generic prediction in a cold dark matter universe is the presence of a network of filaments, at the intersection of which galaxies form and evolve. To test this paradigm is a major goal for MUSE. We utilize MUSE to map Lyman-alpha in emission toward the core of the SSA22 proto-cluster at z=3.1, which provides a most-detailed map of the cosmic web filaments over 1physical Mpc (or 4 comoving Mpc). Multi-wavelength observations, taken with Chandra, JWST, ALMA, and other facilities, toward the filaments uncovers that the filaments indeed connect a variety of galaxies, such as dusty-star-forming galaxies (DSFGs), AGN, Lyman-break galaxies (LBGs), and Lyman-alpha emitters (LAEs), which supports the above fundamental paradigm. Resolved views of stellar mass distribution and gas kinematics of a DSFG uncovered with ALMA and JWST suggest that a member galaxy have high specific stellar angular momentum, possibly as a consequence of gas accretion with high angular momentum and merger. We are expanding a survey of filaments in the proto-cluster on a 100 cMpc scale with with Subaru/HSC, which will make a perfect synergy with (blue-)MUSE.