Appears in collection : Summer School 2015: Moduli Problems in Symplectic Geometry

McDuff and Schlenk determined when a four-dimensional ellipsoid can be symplectically embedded into a four-dimensional ball, and found that when the ellipsoid is close to round, the answer is given by an “infinite staircase” determined by the odd-index Fibonacci numbers. We show that this result still holds in all higher even dimensions when we "stabilize" the embedding problem. This is joint work with Richard Hind.