Speculations about homological mirror symmetry for affine hypersurfaces

Homological Mirror Symmetry (minicourse)
Topic:Speculations about homological mirror symmetry for affine hypersurfaces
Speaker:Denis Auroux
Affiliation:University of California, Berkeley; Member, School of Mathematics
Date:Friday, March 31
Time/Room:10:45am - 12:00pm/S-101

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 $H$. (The case of the pair of pants discussed in the first talk is a special case of this construction). In this talk we will outline some further speculative ideas concerning "relative" homological mirror symmetry for pairs $((C*)^n, H)$ and wrapped Fukaya categories of higher-dimensional pairs of pants.