Speaker
Prof.
Jake Solomon
Description
I will discuss a version of homological mirror symmetry for Fano manifolds that incorporates the non-Archimedean norms on the morphism spaces of the Fukaya category. A Fano manifold corresponds to a Banach Landau Ginzburg model, to which is associated a category of normed matrix factorizations. This correspondence gives rise to conjectural formulas for the singular cohomology with rational coefficients, the Floer cohomology over the Novikov ring, and the open Gromov-Witten invariants of the real locus of a toric Fano manifold that is relatively spin. Joint work with M. Sela.