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Explore advanced cosmological models that extend beyond the standard Lambda-Cold Dark Matter (ΛCDM) framework in this comprehensive lecture delivered at the Galileo Galilei Institute. Delve into alternative theoretical approaches and observational evidence that challenge or complement the conventional understanding of cosmic evolution, dark matter, and dark energy. Examine cutting-edge research in modified gravity theories, alternative dark matter candidates, and novel mechanisms for cosmic acceleration. Investigate how these beyond-ΛCDM models address current tensions and anomalies in cosmological observations, including issues with the Hubble constant, sigma-8 tension, and other discrepancies between early and late-universe measurements. Learn about the mathematical frameworks, observational signatures, and experimental tests that distinguish these alternative cosmological scenarios from the standard model, while gaining insights into the future directions of theoretical and observational cosmology research.
