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arXiv · 1207.4517

Existence de normes invariantes pour GL_2

Marco De Ieso
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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.

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Marco De Ieso. 2012-07-18. Existence de normes invariantes pour GL_2. https://arxiv.org/abs/1207.4517

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