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Explore the intricacies of exact Courant algebroids, basic sections, admissible splittings, CA relations, and generalized metrics in this comprehensive Prague Mathematical Physics Seminar. Delve into a detailed excursus that lays the groundwork for understanding Poisson-Lie T-duality and Topological Quantum Field Theory (TQFT). Gain a solid foundation as all key concepts are thoroughly defined throughout the lecture. Prepare for an upcoming second part that will further expand on these topics, making this seminar an essential starting point for those interested in advanced mathematical physics.
