Family Floer cohomology and mirror symmetry
Apparaît dans la collection : Algèbre, Géométrie et Physique : une conférence en l'honneur
One can associate to a Lagrangian torus fibration on a symplectic manifold X a rigid analytic space Y whose points are the unitary local systems on the fibres. Assuming that there are no singular fibres, I will explain how family Floer cohomology gives rise to a functor which assigns to an (unobstructed) Lagrangian in X an object in a (twisted) derived category of Y, and that this functor is faithful.