GWT
Financiado
Gromov Witten Theory Mirror Symmetry Birational Geometry and the Classificati...
Gromov Witten Theory Mirror Symmetry Birational Geometry and the Classification of Fano Manifolds
The classification of Fano manifolds is a long-standing and important open problem. Fano manifolds are basic building blocks in geometry: they are `atomic pieces' of mathematical shapes. We will take a radically new approach to...
The classification of Fano manifolds is a long-standing and important open problem. Fano manifolds are basic building blocks in geometry: they are `atomic pieces' of mathematical shapes. We will take a radically new approach to Fano classification, combining Mirror Symmetry (a circle of ideas which originated in string theory) with new methods in geometry and massively-parallel computational algebra.
Our main geometric tool will be Gromov-Witten invariants. The Gromov-Witten invariants of a space X record the number of curves in X of a given genus and degree which meet a given collection of cycles in X; they have important applications in algebraic geometry, symplectic topology, and theoretical physics. We will develop powerful new methods for computing Gromov-Witten invariants, and will apply these methods to Fano classification and to questions in birational geometry.
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Duración del proyecto: 75 meses
Fecha Inicio: 2016-06-09
Fecha Fin: 2022-09-30
Fecha Fin: 2022-09-30
Línea de financiación: concedida
El organismo H2020 notifico la concesión del proyecto el día 2022-09-30
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-CoG-2015:
ERC Consolidator Grant
Cerrada
hace 9 años
Presupuesto
El presupuesto total del proyecto asciende a
2M€
Líder del proyecto
IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND ME...
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
138.08K€ |
Participante