Moduli, Motives, Mirrors (Plenary talk at the 3rd ECM, Barcelona, July 10-14, 2000)
arXiv:math/0005144
Abstract
This talk is dedicated to various aspects of Mirror Symmetry. It summarizes some of the mathematical developments that took place since M. Kontsevich's report at the Zürich ICM and provides an extensive, although not exhaustive, bibliography.
arXiv comment22 pages, amstex file, no figures. This version contains some corrections, revisions and additions, especially in the subsections 1.5, 1.5.1, and 2.4
References in corpus (15)
- Mirror Manifolds And Topological Field Theory
- Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
- GKZ-Generalized Hypergeometric Systems in Mirror Symmetry of Calabi-Yau Hypersurfaces
- Geometry and analytic theory of Frobenius manifolds
- Compactifications of moduli spaces inspired by mirror symmetry
- Hypergeometric functions and mirror symmetry in toric varieties
- Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
- A Lie algebra attached to a projective variety
- Cubics, Integrable Systems, and Calabi-Yau Threefolds
- Special Lagrangian Fibrations I: Topology
- Extending Mirror Conjecture to Calabi-Yau with Bundles
- Complete classification of reflexive polyhedra in four dimensions
- The moduli space of special Lagrangian submanifolds
- Torus Fibrations of Calabi-Yau Hypersurfaces in Toric Varieties and Mirror Symmetry
- Introduction to the vertex algebra approach to mirror symmetry