Holomorphic Floer Theory and Exponential Integrals

Explore a comprehensive lecture on Holomorphic Floer Theory and its applications to exponential integrals, delivered by Yan Soibelman at Kansas State University's M-Seminar. Delve into the joint project with Maxim Kontsevich, which extends the Riemann-Hilbert correspondence, non-abelian Hodge theory, and connects Fukaya categories with periodic monopoles. Examine the geometric properties of exponential integrals through the lens of Floer Theory, focusing on complex Lagrangian submanifolds in complex symplectic manifolds. Investigate wall-crossing formulas and structures for exponential integrals, and understand the resurgent properties of divergent series. Time permitting, discover applications to Chern-Simons theory and its connections to quantum wave functions and infinite rank Hodge theory.