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Lambda-modules and holomorphic Lie algebroids

Le : 13/12/2011 10h30
Par : Pietro TORTELLA (Lille-SISSA, Trieste)
Lieu : I 103
Lien web :
Résumé : we give a classification of sheaves of almost polynomial filtered algebras over a smooth and projective variety in terms of holomorphic Lie algebroids and their cohomology class. As a byproduct, we have the existence of moduli spaces for flat L-connections for any holomorphic Lie algebroid L. We then give an application of deformation theory of Lie algebroids to construct a generalization of Deligne-Simpson moduli space of lambda-connections, providing a compactification of M_DR.