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Explore the mathematical foundations of quantum field theory in this public lecture that examines one of the most fundamental theories of 20th-century physics. Discover how quantum field theory unifies quantum mechanics with special relativity, while learning why its mathematical framework remains one of the most challenging problems in modern mathematics, including its status as one of the seven Millennium Prize Problems. Understand the deep connections between quantum field theory and statistical physics through probability theory, as the speaker provides insights into these equivalent mathematical formulations. Gain perspective on why the rigorous mathematical treatment of quantum field theory continues to pose fundamental challenges well into the 21st century, despite its central importance in theoretical physics.
