|DATE||May 27 (Wed), 2020|
|TITLE||New Fukaya category for singularity and Berglund-Hübsch mirror symmetry|
We construct a new Fukaya category od Landau-Ginzburg model defined by weighted homogeneous polynomials and their symmetry groups. From wrapped Fukaya category and monodromy information on the Milnor fiber we define a new A-infinity category and its equivariant version. As an application, we prove Berglund-Hübsch homological mirror symmetry for curve singularity. This is a joint work with Cheol-hyun Cho and Wonbo Jung.