Symplectic capacities
Master 2, ENS de Lyon
January-March 2025

Instructor

Schedule

  • Monday 8:30am - 11:30am, room M7-411

Announcements

Calendar

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:
February 24:
March 10:
March 17:
UMPA ENS de Lyon Université de Lyon