Mirror symmetry for open Gromov–Witten invariants of Fano manifolds

In this talk, I will introduce a class of numerical invariants associated with matrix factorizations, constructed to mirror open Gromov–Witten invariants. Matrix factorizations are algebraic objects expected to correspond, under mirror symmetry, to Lagrangian submanifolds in Fano manifolds. I will describe the non-Archimedean framework required for defining these invariants and present results concerning their structure. This is joint work with J. Solomon.