Mirror symmetry and noncommutative geometry of A∞-categories

@inproceedings{Soibelman2004MirrorSA,
  title={Mirror symmetry and noncommutative geometry of A∞-categories},
  author={Yan S. Soibelman},
  year={2004}
}
Homological mirror symmetry aims to explain the phenomenon of mirror symmetry in the language of A∞-categories and their deformation theory. In these notes I discuss various aspects of this approach from the point of view of noncommutative algebraic geometry in the tensor category of graded vector spaces.