Holomorphic Floer Theory and Resurgence - Lecture 2

Explore the connections between resurgence and analytic wall-crossing structures in this advanced mathematics lecture. Delve into the concept of Holomorphic Floer Theory, which originates from symplectic topology and complex symplectic manifolds. Examine the generalized Riemann-Hilbert correspondence, linking Fukaya categories with categories of holonomic deformation-quantization modules. Discover how this correspondence relates to resurgence in perturbative expansions in mathematics and mathematical physics, including examples of exponential integrals and WKB expansions of wave functions. Gain insights into the simplest non-trivial case of Holomorphic Floer theory involving complex Lagrangian submanifolds of complex symplectic manifolds. This in-depth lecture by Yan Soibelman from Kansas State University offers a comprehensive exploration of cutting-edge mathematical concepts and their applications.