B. Siebert: “A Tropical View on Landau-Ginzburg Models”
Here are my notes from Siebert’s talk at the Extremal Laurent Polynomials workshop at Imperial:
Summary:
- An overview of toric degenerations and the Gross–Siebert picture
- Examples: a pencil of quartics in
and a pencil of elliptic curves in 
- the Gross–Siebert Reconstruction Theorem
- Mirror Symmetry and the discrete Legendre Transform
- Landau–Ginzburg models; the Hori–Vafa mirror
- how to extend the superpotential from the central fiber to the whole of the mirror family in such a way that the resulting superpotential is proper
- Example: , flattening the boundary of the polyhedral complex
- Broken lines and scattering