Resumen de Laurent polynomials in mirror symmetry: why and how?

Alexander Kasprzyk, Victor Przyjalkowski

• We survey the approach to mirror symmetry via Laurent polynomials, outlining some of the main conjectures, problems, and questions related to the subject. We discuss: how to construct Landau–Ginzburg models for Fano varieties; how to apply them to classification problems; and how to compute invariants of Fano varieties via Landau–Ginzburg models.