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Explore advanced concepts in cosmic microwave background radiation and linear perturbation theory in this comprehensive lecture delivered by Julien Lesgourgues at the Galileo Galilei Institute. Delve into the mathematical frameworks and physical principles that govern the evolution of density perturbations in the early universe and their observable signatures in the CMB. Examine the theoretical foundations of cosmological structure formation, including the treatment of photon-baryon coupling, acoustic oscillations, and the transfer of perturbations from the primordial epoch to recombination. Learn about the computational methods used to solve the Boltzmann equations for different particle species and understand how these solutions connect to observable CMB anisotropies. Gain insights into the linear regime of cosmological perturbations and their role in constraining fundamental cosmological parameters through precision measurements of the cosmic microwave background.
