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Explore the mathematical foundations of classical Batalin-Vilkovisky (BV) cohomology in this 58-minute seminar lecture presented by Eugenia Boffo at the Prague Mathematical Physics Seminar. Delve into the theoretical framework that connects differential geometry, algebraic topology, and mathematical physics through the lens of BV formalism. Examine the cohomological structures that arise in classical field theory and their applications to gauge theories and constrained dynamical systems. Learn about the geometric interpretation of BV cohomology, including its relationship to odd symplectic geometry and the role of antibrackets in the formulation. Discover how classical BV cohomology provides a powerful tool for understanding the mathematical structure underlying classical field theories before quantization, and gain insights into the connections between topology, geometry, and physics that make this framework essential for modern mathematical physics research.
