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Reduction modulo p of irreducible p-adic Banach space representations of GL_2(Q_p)

By Vytautas Paškūnas

Appears in 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.

Information about the video

  • Date of recording 26/09/2013
  • Date of publication 17/10/2013
  • Institution IHES
  • Format MP4

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