Sur Un Probleme De Compatibilite Local-Global Localement Analytique (English/French Edition)

The main conjecture of [10] on the locally analytic Ext¹ in a functorial way is reinterpreted using (?, ?)-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 GL₃(?_p).
We reinterpret the main conjecture of [10] on the locally analytic Ext¹ in a functorial way using (φ, Γ)-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 GL₃(ℚ_p).

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