Intertwining Fourier-Mukai and Wehrheim-Woodward functors via mirror symmetry of tori (master's talk 1)

After a brief motivation for mirror symmetry, we will discuss how to sistematically produce the mirror symmetry functor for the product, following the paper of Abouzaid and Smith. The technology presented will help us relate Wehrheim-Woodward functors to Fourier-Mukai ones.
For the most part of the talk we will handle symplectic 2-tori, but we will ask ourselves whether what we performed holds in greater generality. Does this point towards a 2-categorical framework for mirror symmetry?