Griffiths residue theorem and Landau-Ginzburg models | Seminar of Advance Topics in Algebra and Geometry

Abstract

A Griffiths’s classical theorem shows the primitive cohomology of a hypersurface is isomorphic to certain homogeneous pieces of the Jacobian algebra. I will review a new proof of Griffiths’s theorem using Orlov’s results of sigma-model/Landau-Ginzburg correspondence and the HKR isomorphism. The reference is “A category of Kernels for equivariant factorizations and its implications for Hodge theory” by Ballard, Favero, and Katzarkov.