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Content archived on 2024-06-18

Stability in algebraic geometry and its relationship with canonical Kahler metrics

Objective

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.

Fields of science (EuroSciVoc)

Keywords

Topic(s)

Call for proposal

FP7-PEOPLE-IRG-2008
See other projects for this call

Funding Scheme

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

Coordinator

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
EU contribution
€ 100 000,00
Address
TRINITY LANE THE OLD SCHOOLS
CB2 1TN CAMBRIDGE
United Kingdom
Region
East of England East Anglia Cambridgeshire CC
Activity type
Higher or Secondary Education Establishments
Links
Total cost
No data