We express the product of the cohomology ring of the Hilbert scheme in terms of the center of the algebra of the symmetric group. We give a conjecture for the case of crepant resolutions of symplectic quotient singularities. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
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Inst Math Jussieu, Equipe Topol & Genometrie Algebr, F-75013 Paris, FranceInst Math Jussieu, Equipe Topol & Genometrie Algebr, F-75013 Paris, France