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Explore the concept of arclike Lagrangians in Liouville sectors in this advanced mathematics lecture. Delve into the local-to-global formula for computing the wrapped Fukaya category of a Weinstein manifold using sectorial descent. Examine the challenges of analyzing global Lagrangians that span multiple subsectors and discover how the new class of arclike Lagrangian submanifolds offers a more explicit approach. Learn about ongoing research collaborations investigating these concepts and their applications in symplectic geometry and topology.
