The wrapped Fukaya category of an algebraic hypersurface H in (ℂ*)n is conjecturally related via homological mirror symmetry to the derived category of singularities of a toric Calabi-Yau manifold X, whose moment polytope is determined by the tropicalization of H. In this talk we will first explain the statement, and illustrate it for the case of the pair of pants; then we will outline some more speculative ideas about “relative” homological mirror symmetry for pairs ((ℂ*)n, H) and wrapped Fukaya categories of higher-dimensional pairs of pants.
This video is part of Harvard University‘s conference JDG 2017.
