The emerging p-adic Langlands programme Page 1 Proceedings of the International Congress
of Mathematicians Hyderabad, India, 2010 The emerging p-adic Langlands programme …

We show that Colmez's functor from GL2 (QP) representations to Gqp representation
produces essentially all two dimensional representations of Gqp. The method compares the …

If G is a connected reductive p-adic group and P is a parabolic subgroup of G, then we
extend the functor Ordp of ordinary parts to a certain 5-functor, which we denote H'Ordp …

We construct some locally ℚ p-analytic representations of GL 2 (L), L a finite extension of ℚ
p, associated to some p-adic representations of the absolute Galois group of L. We prove …

Colmez has given a recipe to associate a smooth modular representation Ω (W) of the Borel
subgroup of GL2 (Qp) to a-representation W of by using Fontaine's theory of (φ, Γ)-modules …

Let $ F $ be a finite extension of $\mathbb {Q} _p $, $ p> 2$. We construct admissible unitary
completions of certain representations of $\mathrm {GL} _2 (F) $ on $ L $-vector spaces …

Abstract (Semi-stable representations of GL2 (Qp), p-adic half-plane and modulo p
reduction) We compute by cohomological means the reduction modulo p of some p-adic …