| Résume||ZOOM 811 7744 0900, pas de mot de passe mais salle d'attente.
Abstract: The Brasselet-Schürmann-Yokura conjecture predicts the equality between the Hodge L-class and the Goresky-MacPherson L-class for compact complex algebraic varieties that are rational homology manifolds. In this talk, we give two different proofs of this conjecture. The first proof is for projective varieties, and it is based on cubical hyperresolutions, the Decomposition Theorem, and classical Hodge theory. This is a joint work with J. Fernández de Bobadilla. The second proof is for general compact algebraic varieties by using the theory of mixed Hodge modules. This is a joint work with J. Fernández de Bobadilla and M. Saito.|