Existence de normes invariantes pour GL_2
Representation Theory
2012-07-20 v1
Abstract
Breuil et Schneider formulated a conjecture on the equivalence of the existence of invariant norms on certain locally algebraic representations of GL_d(F) and the existence of certain de Rham representations of Gal(\bar(Q_p)/F)$, where F is a finite extension of Q_p. In this paper we prove that in the case d = 2 and under some conditions, the existence of certains admissible filtrations implies the existence of invariant norms.
Cite
@article{arxiv.1207.4517,
title = {Existence de normes invariantes pour GL_2},
author = {Marco De Ieso},
journal= {arXiv preprint arXiv:1207.4517},
year = {2012}
}
Comments
25 pages, in French