Globalizing localized mirror functors
09:30 - 10:20
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
We explain a (local) homological mirror functor formalism using a single Lagrangian L in a symplectic manifold, which we call local mirror functors. This gives an A-infinity functor from Fukaya category to the matrix factorization category of the potential function of L.
In the case of punctured Riemann surfaces, these local functors can be glued to obtain a global mirror, which is a Landau-Ginzburg model on toric Calabi-Yau manifold. This is a joint work in progress with Hansol Hong and Siu-Cheong Lau.