Explore recent advancements in Floer homotopy theory through this comprehensive lecture by Mohammed Abouzaid from Columbia and Stanford Universities. Delve into the construction of Floer generalized homology groups and their applications, while gaining insights into ongoing research on understanding curvature in this context. This hour-long talk offers a deep dive into the cutting-edge developments in homological mirror symmetry, providing valuable knowledge for mathematicians and theoretical physicists interested in this field.