Foliacions lagrangianes i deformacions de foliacions

This project is constituted by the following research lines: the study of deformations of foliations on arbitrary manifolds and the study of Lagrangian foliations on symplectic manifolds. In the first case, we want to obtain versal spaces for codimension-one foliations which have the same quasi-conform type and for the unfoldings of germs of singular foliations. In the second case, we would like to obtain examples and some results about the local structure of Lagrangian foliations. In particular, we shall study the relationship between linear holonomy and the fact that the foliation is locally equivalent to the affine foliation in the cotangent bundle of the compact leaf.