The cosmic web is the large-scale metric in which galaxies form and evolve. Evidences of the role of the cosmic web in driving some galaxy properties have been measured from simulations and at low redshift from spectroscopic surveys. They support a picture in which the geometry of the large-scale environment drives anisotropic tides which impact the dynamics and, at a second order, the assembly history of galaxies. But extracting the cosmic web from observed datasets is still a challenge, in particular at high redshift where large and complete spectroscopic surveys are extremely costly. At these redshifts, though, we expect a stronger dependency of galaxy properties on the geometry of the accretion, which makes this extraction pivotal to understand galaxy evolution.
I will give an overview of the current status of cosmic web analysis from high redshift observations, either photometric data or lyman-alpha forest surveys. While relying on a pilot study in COSMOS and forecasts from the simulated horizon-AGN lightcone, I will present results about the evolution of galaxies within both cosmic web filaments and nodes, and I will show how this study can be extended with future probes including LSST, Euclid, PFS and MOSAIC on the ELT.