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Delve into the fascinating world of quantum black holes and their connections to number theory and geometry in this comprehensive lecture by Professor Atish Dabholkar from ICTP. Explore the intricate relationship between string theory and black hole physics, starting with fundamental concepts and motivations from physics. Designed for mathematicians and students from various physics backgrounds, this 1 hour and 55-minute talk requires only a basic understanding of undergraduate physics. Discover how the study of black holes in string theory has unveiled precise connections to topics in number theory and geometry. Learn about the essential background in quantum field theory and string theory through carefully chosen examples. Gain insights into the upcoming book "Quantum Black Holes and Modular Forms" in the Cambridge Monographs in Mathematical Physics series, co-authored by Atish Dabholkar, Sameer Murthy, and Don Zagier.
