Sebastiano Cantalupo - September 25, 2015 Illuminating the Dark Universe with Quasar-induced Lyman-alpha Emission Gravitational collapse during the Universe's first billion years transformed a nearly homogeneous matter distribution into a network of filaments - the Cosmic Web - where galaxies form and evolve and where the majority of baryons reside as rarefied gas. Because most of this material is too diffuse to form stars, its study has been limited so far to absorption probes against background sources. In this talk, I will present the results of a new, successful program to directly detect and study cosmic gas in the early Universe. This experiment uses external 'source of illuminations', bright quasars, to light up with fluorescent Lyman-alpha emission 'dark' proto-galactic clouds, dense streams around galaxies (the Circumgalactic Medium) and the Cosmic Web. In particular, I will show results from ultra-deep narrow-band imaging and recent integral-field-spectroscopy as a part of the MUSE GTO program that revealed numerous 'dark galaxies' and giant Lyman-alpha emitting filaments. Finally, I will discuss how the unexpectedly high luminosities of the giant Lyman-alpha Nebulae, together with other constraints from Helium and metal extended emission, present a serious challenge for our current understanding of the Intergalactic and Circumgalactic media based on hydrodynamical cosmological simulations.