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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. Analyze observational tensions in current cosmological data and investigate how beyond-ΛCDM models attempt to resolve these discrepancies. Study the theoretical foundations, mathematical formulations, and observational predictions of various alternative cosmological scenarios. Gain insights into the latest developments in cosmological research and understand how these alternative models are tested against astronomical observations and cosmic microwave background data.
