- Basics of symplectic topology: symplectic linear algebra, neighbourhood theorems, Lagrangian submanifolds, symplectomorphisms - Constructions of symplectic manifolds: symplectic blow-ups, Lefschetz pencils - Moduli spaces of pseudo-holomorphic curves, Gromov–Witten invariants - Quantum cohomology, Hamiltonian Floer theory, Lagrangian Floer theory - Time permitting: construction of the Fukaya category