Cosmology has become, in the last 40 years, the main engine to discover how nature works. From the discovery that neutrinos were massive, to the need of dark matter, the discovery of the primordial fluctuation in the CMB to end the past millennium with the discovery of dark energy and the accelerating Universe. The past two decades has seen an even deeper and faster advance with the discovery of gravitational waves, which has opened the window to prove the fundamental laws of nature at the deepest level. The present conference aims at charting the path to advance even farther and devise a strategy to answer the many open questions: what is the dark matter, what is dark energy, is the Universe quantum in nature, what was the origin, how does the Universe evolve, is the Hubble tension a window to new physics. How do we handle the information from the future cosmology surveys that will extract almost all information from the sky?
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