Faculté des sciences

## Symplectic embeddings in dimension 4

### Thèse de doctorat : Université de Neuchâtel, 2014.

Symplectic geometry is the underlying geometry of Hamiltonian dynamics. Since the proof of Gromov’s non-squeezing theorem in 1985, symplectic embeddings have been at the heart of symplectic geometry. This thesis studies some symplectic embedding problems in dimension 4. We start by completely solving the problem of embedding an ellipsoid into a cube. This result is a refinement of the theorem... More