Starts 31 Jul 2009 16:45

Ends 31 Jul 2009 20:00

Central European Time

A symplectic foliation of the 5-sphere

Starts 31 Jul 2009 16:45

Ends 31 Jul 2009 20:00

Central European Time

ICTP

Leonardo da Vinci Building Seminar Room

Strada Costiera, 11
I - 34151 Trieste (Italy)

We explain the construction of a smooth codimension-one foliation on the 5-sphere in which every leaf is a symplectic four-manifold and such that the symplectic structure varies smoothly.
The construction implies the existence of a complete regular Poisson structure on the five-sphere.
Apart from some spheres which can be foliated by Riemann surfaces (this foliations are orientable and therefore symplectic) this example provides the only example of a regular Poisson structure on a sphere. This is joint work with Pablo Suarez (CIMAT, Mexico).

- A. Bergamo