Lagrangian Floer theory and Fukaya categories

Harvard FAS

This course will survey various aspects of Lagrangian Floer theory, starting with its introduction to address classical conjectures in symplectic geometry, and the rich algebraic structures captured by the Fukaya category. These will also be discussed through the lens of homological mirror symmetry. Further topics include family Floer cohomology and local-to-global principles for Fukaya categories.