Program

There will be a 6-hours precourse by Myeonggi Kwon and Joontae Kim. Then there will be six more specialized courses, by Youngjin Bae, Mohan Bhupal, Urs Frauenfelder, Jungsoo Kang, Otto van Koert, and Felix Schlenk.
Each specialized course will have two 1-hour sessions of exercises.
All lectures are in English.

Here is a tentaive schedule (PC = Precourse, C = Course, Ex = Exercices):

Abstracts

PRECOURSE (Joontae Kim and Myeonggi Kwon): vector fields and flows, differential forms, geodesics on spheres, symplectic manifolds, Darboux's theorem, Hamiltonian dynamics, Poisson bracket

SYMPLECTIC EMBEDDINGS I - constructions by hand (Youngjin Bae and Felix Schlenk): motivations, elementary constructions, folding, symplectic capacities, non-existence of higher capacities

SYMPLECTIC EMBEDDINGS II - obstructions and J-curves (Mohan Bhupal and Felix Schlenk): Gromov non-squeezing theorem, packings by balls and ellipsoid, fine structure of symplectic rigidity

SYSTOLIC INEQUALITIES IN RIEMANNIAN GEOMETRY (Urs Frauenfelder): T^2 (Loewner), RP^2 (Pu), S^2 (Croke), essential manifolds, Gromov's theorem

SYSTOLIC INEQUALITIES IN CONTACT AND SYMPLECTIC GEOMETRY (Urs Frauenfelder and Jungsoo Kang): John ellipsoid, Calabi invariants for area-preserving disc maps, existence near the round sphere, counterexample in the non-convex case, Viterbo's conjecture and the Mahler conjecture

THE RESTRICTED 3-BODY PROBLEM (Otto van Koert): Restricted 3-body problem and its limits: the Kepler problem in rotating coordinates and Hill's lunar problem, regularisations (Moser, Levi-Civita, Ligon--Schaaf)

EMBEDDINGS IN CELESTIAL MECHANICS (Urs Frauenfelder and Jungsoo Kang): direct and retrograde orbits, global surface of sections and the Birkhoff conjecture, systolic inequalities for the restricted 3-body problem, symplectic homology, sandwiching method, systolic inequalities for Hill's lunar problem

The following papers contain much of what we will teach on the restricted 3-body problem and on symplectic embeddings

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