project . 2021 - 2025 . On going

SCHEMES

Schobers, Mutations and Stability
Open Access mandate for Publications and Research DataOpen Access mandate for ... European Commission
  • Funder: European CommissionProject code: 885203 Call for proposal: ERC-2019-ADG
  • Funded under: H2020 | ERC | ERC-ADG Overall Budget: 1,015,050 EURFunder Contribution: 1,015,050 EUR
  • Status: On going
  • Start Date
    01 Jan 2021
    End Date
    31 Dec 2025
  • Detailed project information (CORDIS)
Description
Mirror symmetry is a manifestation of string theory that predicts a certain symmetry between complex geometry and symplectic geometry. Mirror symmetry is justified on physical grounds but makes nonetheless strong and testable predictions about purely mathematical concepts. A celebrated example is the prediction by physicists of the number of rational curves of a given degree in a generic quintic threefold which went far beyond classical enumerative geometry. The main actor in this proposal is the "Stringy Kähler Moduli Space" which is the moduli space of complex structures of the mirror partner of a Calabi-Yau manifold. The SKMS is not rigorously defined as mirr...
Description
Mirror symmetry is a manifestation of string theory that predicts a certain symmetry between complex geometry and symplectic geometry. Mirror symmetry is justified on physical grounds but makes nonetheless strong and testable predictions about purely mathematical concepts. A celebrated example is the prediction by physicists of the number of rational curves of a given degree in a generic quintic threefold which went far beyond classical enumerative geometry. The main actor in this proposal is the "Stringy Kähler Moduli Space" which is the moduli space of complex structures of the mirror partner of a Calabi-Yau manifold. The SKMS is not rigorously defined as mirr...
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