Reduction modulo p of irreducible p-adic Banach space representations of GL_2(Q_p)
Apparaît dans la collection : Conférence de mi-parcours du programme ANRThéorie de Hodge p-adique et Développements (ThéHopaD)
This is a joint work with Colmez and Dospinescu. We show that the reduction modulo p of an absolutely irreducible p-adic Bach space representation of $GL_2(Q_p)$ has the shape predicted by the mod p Langlands correspondence. The result had been known for p>3 previously, the new proof works for all primes p.
