| Week 1 | Symplectic manifolds - basic definitions and examples. Symplectic linear algebra. Class notes. |
|---|---|
| Week 2 | More symplectic linear algebra - symplectic group, complex structures. Class notes. |
| Week 3 | Moser trick, Darboux's Theorem, Weinstein's Neighborhood Theorem. Class notes. |
| Week 4 | Symplectic reduction. Class notes. |
| Week 5 | Symplectic capacities, Gromov nonsqueezing theorem. For weeks 5-8, we followed Hofer-Zehnder, chapters 2 and 3. |
| Week 6 | More on symplectic capacities, definition of the Hofer-Zehnder capacity. |
| Week 7 | Existence of symplectic capacities: proof of Hofer-Zehnder capacity part I. |
| Week 8 | Existence of symplectic capacities: proof of Hofer-Zehnder capacity part II. |
| Week 9 | Applications: existence of closed characteristics. Class notes. |
| Week 10 | Morse homology. Class notes. |