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Today, thanks in particular to the results of the ESA Planck mission, theconcordance cosmological model appears to be the most robust to describe theevolution and content of the Universe from its early to late times. Itsummarizes the evolution of matter, made mainly of dark matter, from theprimordial fluctuations generated by inflation around $10^{-30}$ second afterthe Big-Bang to galaxies and clusters of galaxies, 13.8 billion years later,and the evolution of the expansion of space, with a relative slowdown in thematter-dominated era and, since a few billion years, an acceleration powered bydark energy. But we are far from knowing the pillars of this model which areinflation, dark matter and dark energy. Comprehending these fundamentalquestions requires a detailed mapping of our observable Universe over the wholeof cosmic time. The relic radiation provides the starting point and galaxiesdraw the cosmic web. JAXA's LiteBIRD mission will map the beginning of ourUniverse with a crucial test for inflation (its primordial gravity waves), andthe ESA Euclid mission will map the most recent half part, crucial for darkenergy. The mission concept, described in this White Paper, GAUSS, aims atbeing a mission to fully map the cosmic web up to the reionization era, linkingearly and late evolution, to tackle and disentangle the crucial degeneraciespersisting after the Euclid era between dark matter and inflation properties,dark energy, structure growth and gravitation at large scale.

Gravitation And the Universe from large Scale-Structures: The GAUSS mission concept