Locally analytic ${\mathrm{Ext}}^1$ for ${\mathrm{GL}}_2({\mathbb{Q}}_{\mathrm{p}})$ in de Rham non trianguline case

Abstract

We prove Breuil's conjecture on locally analytic ${\mathrm{Ext}}^1$ for ${\mathrm{GL}}_2({\mathbb{Q}}_{\mathrm{p}})$ in de Rham non-trianguline case.

arXiv comment12 pages