| January 13: |
Symplectic manifolds Hamiltonian vector fields Characteristic foliation on hypersurfaces Statement of Gromov non-squeezing Contact manifolds |
|---|---|
| January 20: |
Restricted contact-type hypersurfaces Weinstein conjecture Almost existence of closed orbits on family of hypersurfaces Definition of symplectic capacity |
| January 27: |
Remarks on symplectic capacities Gromov width Cylindrical capacity Hofer-Zehnder capacity Hamiltonian action functional |
| February 3: |
Abstract critical point theory Palais-Smale condition Min-max theorem Sobolev setting for the Hamiltonian action functional |
| February 17: | (canceled lecture) |
| February 24: |
Regularity of the critical points of the Hamiltonian action Palais-Smale condition for the Hamiltonian action Existence of 1-periodic Hamiltonian orbits |
| March 10: |
\(C^0\)-rigidity of symplectomorphisms Proof of the almost existence of closed orbits on family of hypersurfaces |
| March 17: |
Introduction to Hofer geometry Hofer norm displacement energy action spectrum action selectors |
| March 20: | The displacement energy as a capacity |