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Explore the intricate relationship between Probabilistically Checkable Proofs (PCPs) and Global Hyper-contractivity in this 50-minute lecture delivered by Dor Minzer from the Massachusetts Institute of Technology. Delve into advanced concepts in theoretical computer science and analysis as part of the Analysis and TCS Boot Camp series hosted by the Simons Institute. Gain insights into the fundamental principles and applications of these complex topics, enhancing your understanding of cutting-edge research in computational complexity theory.