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Abstract
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| For more !han a decade, our group has studied \he moduli spaces of vector bundles and other relatad objects. Our interest started because of its connections with other fields (Physics and Yang,Mills equations, differential topology and Oonaldson polynomials) and, specially, for the rich geometry that these modull spaces enjoy. In this project we wdl explore !he following poinlof view: lo study the moduli stack and lo relate its properties with !hose of \he moduli space. A!though this point of View is not new, we think that it can lead us lo new results. We have explorad difieren!techniques lar !he study of moduli spaces (algebraic geometry, differential geometry, arithmetic geometry, symplectic geometry) and this has led us in a natural way lo other relatad fields We can menlion !he group GESTA (Symplectic Geometry wilh Algebraic Techniques), inspirad by the work of Donaldson. The subject of study of this group is Symplecllc and Contact Geometry and related areas. | |
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International
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No |
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Project type
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Proyectos y convenios en convocatorias públicas competitivas |
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Company
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MINISTERIO DE EDUCACIÓN Y CIENCIA |
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Entity Nationality
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ESPAÑA |
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Entity size
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Gran Empresa (>250) |
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Granting date
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01/01/2011 |