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Boundedness and Moduli problems in birational geometry

Project description

Investigating the boundedness of the Calabi-Yau algebraic varieties

Calabi-Yau manifolds are one of the most important building blocks of algebraic varieties. Advancing understanding of the geometry and the classification of Calabi-Yau varieties would yield applications in theoretical physics as they satisfy the requirement of space for the six ‘unseen’ spatial dimensions of string theory. Investigating whether there are many families of Calabi-Yau varieties in any fixed dimension – a property called boundedness – remains a long-standing challenge. Funded by the Marie Skłodowska-Curie Actions programme, the BoundModProbAG project aims to prove that there is essentially a finite number of families of Calabi-Yau varieties with some extra piece of structure – an elliptic fibration – in any dimension.

Coordinator

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Net EU contribution
€ 191 149,44
Address
Batiment Ce 3316 Station 1
1015 Lausanne
Switzerland

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Region
Schweiz/Suisse/Svizzera Région lémanique Vaud
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00