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Dive into the fundamentals of Topological Quantum Field Theory (TQFT) in this comprehensive lecture delivered by Ph. Korablev. Explore the mathematical foundations and physical implications of TQFT, gaining insights into its applications in quantum mechanics and topology. Learn about the axioms of TQFT, the relationship between quantum invariants and topological invariants, and the role of category theory in this field. Discover how TQFT bridges the gap between quantum mechanics and geometry, providing a powerful framework for understanding quantum systems in terms of topological properties.