MMiMMa
Financiado
MMP and Mirrors via Maximal Modification Algebras
Geometrically, this proposal is concerned primarily with Calabi--Yau threefolds, their (local) classification, their homological properties, various associated structures such as stability conditions and Frobenius manifolds, and...
Geometrically, this proposal is concerned primarily with Calabi--Yau threefolds, their (local) classification, their homological properties, various associated structures such as stability conditions and Frobenius manifolds, and the resulting predictions across mirror symmetry. Our approach to these problems is through noncommutative algebra, and necessarily so. We will use techniques from contraction algebras and noncommutative resolutions to classify, using both theoretical and constructive methods, and in the process verify an amended version of a string theory prediction. We will use this to push forward curve-counting and derived category consequences and obstructions, and will work towards building a full database of 3-fold flops. On a parallel track, we will treat fundamental problems in noncommutative resolutions and their variants, and approach some of the founding conjectures in the area. We will tackle problems such as existence of MMAs through to more specific problems such as faithful actions and K(pi,1) through stability manifolds and tilting theory on preprojective algebras. We will furthermore merge all this into an emerging theory of Frobenius manifolds, SKMS, and schobers, and through this expand on recent work constructing mirrors to various flopping contractions.
ver más
Duración del proyecto: 65 meses
Fecha Inicio: 2020-12-17
Fecha Fin: 2026-05-31
Fecha Fin: 2026-05-31
Línea de financiación: concedida
El organismo H2020 notifico la concesión del proyecto el día 2020-12-17
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-2020-COG:
ERC CONSOLIDATOR GRANTS
Cerrada
hace 4 años
Presupuesto
El presupuesto total del proyecto asciende a
2M€
Líder del proyecto
UNIVERSITY OF GLASGOW
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
377.59K€ |
Participante