At some point in this past year, some Fukaya people I know got very excited about the Fukaya categories of symplectic manifolds with "Lagrangian skeletons." As I understand it, a Lagrangian skeleton is a union of Lagrangian submanifolds which a symplectic manifold retracts to. One good example would be the zero-section of a cotangent bundle, but there are others; for example, the exceptional fiber of the crepant resolution of $\mathbb C^2/\Gamma$ for $\Gamma$ a finite subgroup of $SL(2,\mathbb C)$. From the rumors I've heard, apparently there's some connection between the geometry of the skeleton and the Fukaya category of the symplectic manifold; this is understood well in the case of a cotangent bundle from work of Nadler and Nadler-Zaslow
I'm very interested in the Fukaya categories of some manifolds like this, but the only thing I've actually seen written on the subject is Paul Seidel's moderately famous picture of Kontsevich carpet-bombing his research program, which may be amusing, but isn't very mathematically rigorous. Google searching hasn't turned up much, so I was wondering if any of you have anything to suggest.