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arXiv · 1902.03357

Sur un probl\`eme de compatibilit\'e local-global localement analytique

Christophe Breuil·Yiwen Ding
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Abstract

We reinterpret a conjecture of Breuil on the locally analytic $\mathrm{Ext}^1$ in a functorial way using $(\varphi,\Gamma)$-modules (possibly with $t$-torsion) over the Robba ring, making it more accurate. Then we prove several special or partial cases of this "improved" conjecture, notably for ${\rm GL}_3(\mathbb{Q}_p)$.

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Christophe Breuil, Yiwen Ding. 2019-02-09. Sur un probl\`eme de compatibilit\'e local-global localement analytique. https://arxiv.org/abs/1902.03357

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