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We present the first results from a survey of the relative spatialdistributions of galaxies, intergalactic neutral hydrogen, and intergalacticmetals at high redshift. We obtained high-resolution spectra of 8 bright QSOsat 3.1<z<4.1 and spectroscopic redshifts for 431 Lyman-break galaxies (LBGs) atslightly lower redshifts. Comparing the locations of galaxies to the absorptionlines in the QSO spectra shows that the intergalactic medium contains lessneutral hydrogen than the global average within r<0.5h^-1 comoving Mpc of LBGsand more than average at slightly larger distances 1<r<5 h^-1 comoving Mpc. Theintergalactic medium within the largest overdensities at z~3, which willpresumably evolve into the intracluster medium by z~0, is rich in neutralhydrogen and CIV. The lack of HI absorption at small distances from LBGsappears unlikely to be produced solely by the Lyman continuum radiation theyemit; it may show that the galaxies' supernovae-driven winds maintain theirmeasured outflow velocities of ~600 km/s for a few hundred million years anddrive away nearby intergalactic gas. We present correlation functions ofgalaxies with Lyman-alpha forest flux decrements, with CIV systems, and withother galaxies. We describe the association of galaxies with damped Lyman-asystems and with intergalactic HeII opacity. A strong observed correlation ofgalaxies with intergalactic metals supports the idea that Lyman-break galaxies'winds have enriched their surroundings.Comment: 32 pages including 26 figures. To appear in Ap

Galaxies and Intergalactic Matter at Redshiftz ∼ 3: Overview