Ordinary representations of GLn(Qp) and fundamental algebraic representations

Mardi 19 juin 2012 16:00-17:00 - Herzig Florian - Toronto

Résumé : Motivated by a hypothetical p-adic Langlands correspondence for GLn(Qp) we associate to an n-dimensional ordinary (i.e. upper-triangular) representation rho of Gal(Qp-bar/Qp) over E a unitary Banach space representation Pi(rho)^ord of GLn(Qp) over E that is built out of principal series representations. (Here, E is a finite extension of Qp.) There is an analogous construction over Fp-bar. In the latter case we show under suitable hypotheses that Pi(rho)^ord occurs in the rho-part of the cohomology of a compact unitary group. This is joint work with Christophe Breuil.

Lieu : bât. 425 - 113-115

Ordinary representations of GLn(Qp) and fundamental algebraic representations  Version PDF
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