Perturbation Theory for Large-Scale Structure - Lecture 1

Learn the fundamentals of perturbation theory for Large Scale Structure (LSS) in this comprehensive lecture delivered by Mikhail Ivanov at the Galileo Galilei Institute. Explore the mathematical framework and theoretical foundations used to understand the formation and evolution of cosmic structures through perturbative methods. Discover how small density fluctuations in the early universe grow over time to form the large-scale structure we observe today, including galaxies, galaxy clusters, and cosmic filaments. Examine the linear and non-linear regimes of structure formation, understanding when perturbation theory is applicable and its limitations. Delve into the mathematical tools and techniques essential for cosmological calculations, including the growth of density perturbations, velocity fields, and the role of dark matter in structure formation. Gain insights into how perturbation theory connects theoretical predictions with observational data from galaxy surveys and cosmic microwave background measurements, providing a crucial bridge between cosmological models and empirical evidence.