【2020春】Mirror symmetry: categories and constructions
According to Kontsevich’s homological mirror symmetry proposal, it may be formulated by equivalences between certain symplectic and algebraic categories. I will introduce these objects, and do some case studies: in particular, I will develop toric geometry of varieties and orbifolds to give a source of examples, and discuss recent progress in understanding mirror symmetry via constructible sheaves.
D. Auroux, Topics in Geometry: Mirror Symmetry, MIT Open Course Ware.
R. P. Thomas, Derived categories for the working mathematician, arXiv.
R. P. Thomas, Mirror symmetry and actions of braid groups on derived categories, arXiv.