|Location:||MSRI: Simons Auditorium|
Fix a Lagrangian submanifold of a closed symplectic manifold, of arbitrary dimension. Following ideas of Fukaya-Oh-Ohta-Ono (2009) and Fukaya (2011), we endow the ring of differential forms on it with an A_\infty structure. Cohomological conditions on the Lagrangian give rise to a canonical choice of a bounding chain, which in turn gives rise to genus-0 open Gromov-Witten invariants. Time permitting, we will discuss an open analog of the WDVV equation satisfied by such invariants.
This is joint work with Jake Solomon.