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Let p be a prime number and f an overconvergent p-adic automorphic form on a definite unitary group which is split at p. Assume that f is of “classical weight” and that its Galois representation is… (More)

- Benjamin Schraen
- 2010

We construct some locally ℚp-analytic representations of GL2(L), L a finite extension of ℚp, associated to some p-adic representations of the absolute Galois group of L. We prove that the space of… (More)

We determine the composition factors of a Jordan-Hölder series including multiplicities of the locally analytic Steinberg representation. For this purpose, we prove the acyclicity of the evaluated… (More)

- Benjamin Schraen
- 2011

We describe the completed local rings of the trianguline variety at certain points of integral weights in terms of completed local rings of algebraic varieties related to Grothendieck’s simultaneous… (More)

- Benjamin Schraen
- 2010

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and… (More)

Let K be a finite extension of Qp and let ρ̄ be a continuous, absolutely irreducible representation of its absolute Galois group with values in a finite field of characteristic p. We prove that the… (More)

Conjecturally, the Galois representations that are attached to essentially selfdual regular algebraic cuspidal automorphic representations are Zariski-dense in a polarized Galois deformation ring. We… (More)