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Explore the connections between resurgence and analytic wall-crossing structures in this lecture on Holomorphic Floer Theory. Delve into the generalized Riemann-Hilbert correspondence, which links Fukaya categories with categories of holonomic deformation-quantization modules. Examine how this correspondence relates to resurgence in perturbative expansions in mathematics and mathematical physics, including examples of exponential integrals and WKB expansions. Gain insights into the simplest non-trivial case of Holomorphic Floer theory involving complex Lagrangian submanifolds in complex symplectic manifolds. Learn from Yan Soibelman of Kansas State University as he presents this advanced topic at the Institut des Hautes Etudes Scientifiques (IHES).
