Delve into the second lecture of a comprehensive minicourse on Fukaya categories, focusing on Floer cohomology and the Fukaya category. Explore key concepts such as Lagrangian intersection theory, Floer differential, A∞ operations, Gromov compactification, and A∞ equations. Build upon the foundations laid in the first lecture on symplectic geometry basics, and prepare for the final lecture covering examples of Fukaya categories. Gain valuable insights into this advanced mathematical topic over the course of 1 hour and 10 minutes, presented by James Pascaleff at the Hausdorff Center for Mathematics.