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Explore the fundamental principles of large scale structure theory in this comprehensive lecture from the V Joint ICTP-Trieste/ICTP-SAIFR School on Cosmology. Learn from Roman Scoccimarro of New York University as he introduces the theoretical framework for understanding how matter is distributed across the universe on the largest scales. Delve into the mathematical foundations that describe the formation and evolution of cosmic structures, from the initial density fluctuations in the early universe to the complex web of galaxies, clusters, and voids we observe today. Examine the key concepts including gravitational instability, perturbation theory, and the statistical tools used to characterize large scale structure. Gain insights into how theoretical predictions connect with observational data from galaxy surveys and cosmic microwave background measurements. This first class in the series establishes the essential groundwork for understanding how the universe's largest structures formed and evolved over cosmic time.
