Witnessing galaxy assembly in an extended z~3 structure

We present new observations acquired with the Multi Unit Spectroscopic Explorer instrument on the Very Large Telescope in a quasar field that hosts a high column-density damped Ly{\alpha} absorber (DLA) at z~3.25. We detect Ly{\alpha} emission from a nebula at the redshift of the DLA with line luminosity (27+/-1)x1e41 erg/s, which extends over 37+/-1 kpc above a surface brightness limit of 6x1e-19 erg/s/cm2/arcsec2 at a projected distance of 30.5+/-0.5 kpc from the quasar sightline. Two clumps lie inside this nebula, both with Ly{\alpha} rest-frame equivalent width > 50 A and with relative line-of-sight velocities aligned with two main absorption components seen in the DLA spectrum. In addition, we identify a compact galaxy at a projected distance of 19.1+/-0.5 kpc from the quasar sightline. The galaxy spectrum is noisy but consistent with that of a star-forming galaxy at the DLA redshift. We argue that the Ly{\alpha} nebula is ionized by radiation from star formation inside the two clumps, or by radiation from the compact galaxy. In either case, these data imply the presence of a structure with size >>50 kpc inside which galaxies are assembling, a picture consistent with galaxy formation in groups and filaments as predicted by cosmological simulations such as the EAGLE simulations.