ORDINARY PARTS OF ADMISSIBLE REPRESENTATIONS OF p-ADIC REDUCTIVE GROUPS II. DERIVED FUNCTORS

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The emerging p-adic Langlands programme (2011, background): “For more general 2-dimensional reducible representations of Gal(Qp/Qp), the corresponding representations of GL2(Qp) are a bit more subtle to define and we refer the reader to [27] or [21, §VII].”
The classification of irreducible admissible mod p representations of a p-adic GLn (2010, methodology): “ducible representations and the knowledge of these will play some role in the understanding of a mod p Langlands correspondence. (For GL2(Qp) extensions between irreducibles were computed in [Col10], [Eme10b], [BP], [Paˇs10].) Another diﬀerence, maybe related to the lack of intertwining operators, i”
The image of Colmez’s Montreal functor (2010, methodology): “Emerton in [30] has defined a functor OrdP : Mod ladm G,ζ (A) → ModladmT,ζ (A), satisfying HomA[G](Ind G P U, V ) ∼= HomA[M ](U,OrdP (V )), (118) where P is the parabolic subgroup of G opposite to P with respect to T , see Theorem 4.4.6 in [30] if U is admissible, the general statement follows from ”
Towards a Modulo p Langlands Correspondence for GL2 (2012, unknown): “S. Le Bois-Marie 35 route de Chartres 91440 Bures-sur-Yvette France breuil@ihes.fr Vytautas Paškūnas Fakultät für Mathematik Universität Bielefeld Postfach 100131 D-33501 Bielefeld Germany paskunas@math.uni-bielefeld.de Contents”