Weights in a Serre-type conjecture for U(3)

Mardi 10 mai 2011 16:00-17:00 - Herzig Florian - Toronto

Résumé : We consider a generalisation of Serre’s conjecture for irreducible, conjugate self-dual Galois representations rho : G_F -> GL_3(F_p^barre), where F is a CM field in which p splits completely. We previously gave a conjecture for the possible Serre weights of rho. If rho is locally irreducible at p and modular of a (very) generic Serre weight, we show that the set of generic Serre weights of rho coincides precisely with the conjectural set. This is joint work with Matthew Emerton and Toby Gee.

Lieu : bât. 425 - 113-115

Weights in a Serre-type conjecture for U(3)  Version PDF
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