Collection Algèbre, Géométrie et Physique : une conférence en l'honneur
Organisateur(s)
Date(s)
29/04/2024
Family Floer cohomology and mirror symmetry
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.
