Explore recent advancements in Floer homotopy theory in 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 within this framework. This 1-hour and 8-minute talk, presented at the University of Miami, offers a deep dive into the cutting-edge developments in the field of homological mirror symmetry.