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Stability in algebraic geometry and its relationship with canonical Kahler metrics

Objectif

The proposal centers around the conjectural equivalence between the existence of special Kahler metrics and stability notions for projective manifolds coming from Geometric Invariant Theory. The stability condition is called K-stability, and the metrics in question are the extremal metrics, which includes the class of Kahler-Einstein metrics and the constant scalar curvature Kahler metrics. The projects will build on what is already known in this area and extend it to apply beyond projective manifolds, as well as connect with other parts of algebraic geometry, notably and stability notions for vector bundles and for pairs in birational geometry.

Champ scientifique (EuroSciVoc)

Mots‑clés

Programme(s)

Thème(s)

Appel à propositions

FP7-PEOPLE-IRG-2008
Voir d’autres projets de cet appel

Régime de financement

MC-IRG - International Re-integration Grants (IRG)

Coordinateur

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Contribution de l’UE
€ 100 000,00
Adresse
TRINITY LANE THE OLD SCHOOLS
CB2 1TN CAMBRIDGE
Royaume-Uni
Région
East of England East Anglia Cambridgeshire CC
Type d’activité
Higher or Secondary Education Establishments
Liens
Coût total
Aucune donnée