Geodesic
A proof of the Breuil-Schneider conjecture in the indecomposable case
Claus M. Sorensen1
1 Department of Mathematics, Princeton University, Fine Hall - Washington Rd., Princeton, NJ 08544
Annals of mathematics, Tome 177 (2013) no. 1, pp. 367-382.

Voir la notice de l'article provenant de la source Annals of Mathematics website

This paper contains a proof of a conjecture of Breuil and Schneider on the existence of an invariant norm on any locally algebraic representation of $\mathrm{GL}(n)$, with integral central character, whose smooth part is given by a generalized Steinberg representation. In fact, we prove the analogue for any connected reductive group $G$. This is done by passing to a global setting, using the trace formula for an $\mathbb{R}$-anisotropic model of $G$. The ultimate norm comes from classical $p$-adic modular forms.
DOI : 10.4007/annals.2013.177.1.7

Claus M. Sorensen 1

1 Department of Mathematics, Princeton University, Fine Hall - Washington Rd., Princeton, NJ 08544 
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Claus M. Sorensen. A proof of the Breuil-Schneider conjecture in the indecomposable case. Annals of mathematics, Tome 177 (2013) no. 1, pp. 367-382. doi : 10.4007/annals.2013.177.1.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.1.7/

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