Functorial Construction of Lagrangian Floer Theory and Its Possible Applications

Explore a comprehensive lecture on the functorial construction of Lagrangian Floer theory and its potential applications. Delve into the current status of this mathematical approach as presented by renowned mathematician Kenji Fukaya from Stony Brook University. Over the course of 51 minutes, gain insights into the intricate details of Floer theory and its functional construction within the context of Lagrangian submanifolds. Discover how this theoretical framework can be applied to various mathematical problems and potentially extend to other fields. Suitable for advanced mathematics students and researchers interested in symplectic geometry, this talk offers a deep dive into cutting-edge mathematical concepts and their practical implications.