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Explore a comprehensive lecture by Professor Atish Dabholkar from the Abdus Salam International Centre for Theoretical Physics that delves into the fascinating intersection of quantum entropy, entanglement, and black holes. Discover the significant advancements made over the past decade in calculating exact quantum entropy of supersymmetric black holes, including both perturbative and non-perturbative corrections to the Bekenstein-Hawking entropy. Learn how number theory concepts like Rademacher expansion and Kloosterman sums interweave with field theory elements such as localization in supergravity and Chern-Simons theory. Examine recent developments in defining classical and quantum entanglement entropy in string theory through the orbifold method, while understanding their implications for holography and black hole physics. The lecture, part of the Black Holes: Bridges Between Number Theory and Holographic Quantum Information series, provides nearly two hours of advanced theoretical physics exploration.
