FJRW theories of simple-elliptic singularities

Abstract: Given a hypersurface singularity f together with some group of symmetries G, FJRW theory produces the so-called A-side Landau-Ginzburg model.  From the perspective of mirror symmetry this is an A-side CohFT built by a pair (f,G).  Mirror symmetry conjectures that it is isomorphic to a B-side CohFT of another pair (f',G') after a good choice of a primitive form.

In this talk we will review FJRW theories of simple-elliptic singularities and provide the Frobenius manifold potentials of them. We will also present the CY/LG correspondence result, connecting such FJRW theories with Gromov-Witten theories of elliptic orbifolds.

algebraic geometrydifferential geometry

Audience: researchers in the topic

Comments: Note unusual time.

Moduli spaces seminar