## Wrapped Floer theory and Homological mirror symmetry for toric Calabi-Yau manifolds

Yoel Groman

Columbia University

October 9, 2017

Consider a Lagrangian torus fibration a la SYZ over a non compact base. Using techniques from arXiv:1510.04265, I will discuss the construction of wrapped Floer theory in this setting. Note that this setting is generally not exact even near infinity. The construction allows the formulation of a version of the homological mirror symmetry conjecture for open manifolds which are not exact near infinity.