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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 phenomenological implications of various extensions to standard cosmology. Gain insights into the latest developments in cosmological model building, parameter estimation techniques, and observational tests that distinguish between competing theoretical frameworks. Learn about the interplay between theoretical predictions and observational constraints from cosmic microwave background measurements, large-scale structure surveys, and other cosmological probes in evaluating alternative cosmological paradigms.
