Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics

Explore a lecture by renowned mathematician Kenji Fukaya on the categorification of Lagrangean Floer Theory and its connections to various mathematical fields. Delve into the world of symplectic geometry, focusing on Lagrangian submanifolds and Floer homology. Discover the Fukaya category, a generalized framework where Lagrangian submanifolds serve as objects and Floer homology groups as morphisms. Examine the relationship between this work and Kontsevich's homological mirror symmetry conjecture. Gain insights from Fukaya's extensive research and contributions to the field, including his earlier work in Riemannian geometry and collapsing results. Learn from a distinguished mathematician who has received numerous accolades, including the Japan Academy Award, Asahi prize, and Fujiwara prize, and is a member of the Japanese National Academy of Sciences.