Holomorphic Floer Theory and Resurgence - Part 1 of 3
Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Course Description
Overview
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).
Syllabus
Yan Soibelman - 1/3 Holomorphic Floer Theory and Resurgence
Taught by
Institut des Hautes Etudes Scientifiques (IHES)
Related Courses
Mirrors of Curves and Their Fukaya Categories - Denis AurouxInstitute for Advanced Study via YouTube Weinstein Manifolds Through Skeletal Topology - Laura Starkston
Institute for Advanced Study via YouTube Introduction to Fukaya Categories - James Pascaleff
Hausdorff Center for Mathematics via YouTube Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces
IMSA via YouTube Homological Mirror Symmetry - Yan Soibelman
IMSA via YouTube