Homological Mirror Symmetry - Yan Soibelman
Offered By: IMSA via YouTube
Course Description
Overview
Explore a lecture on Holomorphic Floer Theory (HFT), wall-crossing structures, and Chern-Simons theory presented by Yan Soibelman from Kansas State University. Delve into the mathematics behind Fukaya categories of complex symplectic manifolds and their relation to deformation quantization. Examine the generalized Riemann-Hilbert correspondence and its connection to Picard-Lefschetz wall-crossing formulas for exponential integrals. Discover how wall-crossing formulas and structures emerge from holomorphic Lagrangian subvarieties and their link to resurgence in Chern-Simons theory. Investigate the "Chern-Simons wall-crossing structure" through finite-dimensional geometry of K_2-Lagrangian subvarieties and a conjectured infinite-rank Hodge structure. Gain insights into the interplay between the "A-side" (Fukaya category) and "B-side" (deformation quantization) of complex symplectic manifolds in this advanced mathematical exploration.
Syllabus
Homological Mirror Symmetry: Yan Soibelman
Taught by
IMSA
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 Holomorphic Floer Theory, Quantum Wave Functions and Resurgence
IMSA via YouTube