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Content archived on 2024-06-18

Complex Projective Contact Manifolds

Objective

In our project we are interested in the classification of complex projective contact Fano manifolds and of quaternion-Kahler manifolds with positive scalar curvature. Also we want to classify smooth subvarieties of projective space whose dual is also smooth. We divide these problems into the following four objectives: 1) to expand the dictionary between the differential geometric properties of quaternion-Kahler manifolds with positive scalar curvature and algebro-geometric properties of complex contact Fano manifolds; 2) to determine properties of minimal rational curves on contact Fano manifolds and the Legendrian subvarieties determined by these curves; 3) to use the results of 1) and 2) to make progress in establishing or disproving the conjecture of LeBrun and Salamon - we will approach the conjecture from both the differential and algebraic perspectives. 4) to classify smooth varieties whose dual is also smooth via Legendrian varieties.

Keywords

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Topic(s)

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Call for proposal

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FP7-PEOPLE-2007-4-1-IOF
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Funding Scheme

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MC-IOF - International Outgoing Fellowships (IOF)

Coordinator

UNIVERSITE JOSEPH FOURIER GRENOBLE 1
EU contribution
€ 239 138,19
Address
Avenue Centrale, Domaine Universitaire 621
38041 GRENOBLE
France

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Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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