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Explore advanced concepts in symplectic geometry through this comprehensive lecture on wrapped Fukaya categories, delivered by Benjamin Gammage from the University of Toronto at the Fields Institute. Delve into the mathematical foundations and applications of these sophisticated categorical structures that play a crucial role in modern symplectic topology and mirror symmetry. Build upon fundamental knowledge as the speaker guides you through the intricate relationships between Lagrangian submanifolds, their morphisms, and the algebraic structures that emerge from wrapping techniques in Fukaya categories. Examine how these mathematical tools provide powerful frameworks for understanding geometric phenomena and their connections to algebraic geometry through the lens of homological mirror symmetry.
