Séminaires : Séminaire sur les Singularités

 Equipe(s) : gd, Responsables : André BELOTTO, Hussein MOURTADA, Matteo RUGGIERO, Bernard TEISSIER Email des responsables : hussein.mourtada@imj-prg.fr Salle : salle 2015 Adresse : Sophie Germain Description Archive avant 2015 Hébergé par le projet Géométrie et Dynamique de l’IMJ-PRG

 Orateur(s) Wim Veys - , Titre Verdier monodromy and the Monodromy Conjecture for ideals in two variables Date 01/12/2015 Horaire 16:00 à 18:00 Diffusion Résume The monodromy conjecture states that every pole of the topological (or related) zeta function of a polynomial f induces an eigenvalue of monodromy of f. This conjecture has already been studied a lot, but is in full generality proven only for zeta functions associated to polynomials in two variables. We consider a generalization, working with zeta functions associated to an ideal. First we present in arbitrary dimension a formula (like the one of A'Campo) to compute the Verdier monodromy eigenvalues associated to an ideal. This is used to prove a generalized monodromy conjecture for arbitrary ideals in two variables. Salle salle 2015 Adresse Sophie Germain
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