Reconstrucción demostración teorema de no encaje afín de Gromov

Abstract

In this memoir, we present a proof of Gromov's affine non-squeezing theorem. We start by recalling in Chapter 2 a few basic concepts of linear algebra, as well as, in Chapter 3, the definition of symplectic vector space, isotropic and co-isotropic subspace, Lagrangian subspace and symplectic subspace. We then proceed to Chapter 4, where we recall the definition of the symplectic group and give a proof of Gromov's affine non-squeezing theorem.