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Luis Dieulefait

  1. Langlands Base Change for GL(2).

    Пт, 12/11/2009 - 16:01 — SomNambul
    Authors: Luis Dieulefait
    Subjects: Number Theory
    Abstract

    Let F be a totally real Galois number field. We prove the existence of base
    change relative to the extension F/Q for every classical newform of odd level,
    under simple ramification assumptions on the field F.

  2. On fields of definition of torsion points of elliptic curves with complex multiplication.

    Чт, 09/10/2009 - 10:12 — SomNambul
    Authors: Luis Dieulefait, E.Gonzalez-Jimenez, J. Jimenez Urroz
    Subjects: Number Theory
    Abstract

    For any elliptic curve E defined over the rationals with complex
    multiplication and for every prime p, we describe the image of the mod p Galois
    representation attached to E. We deduce information about the field of
    definition of torsion points of these curves, in particular we classify all
    cases where there are torsion points over Galois number fields not containing
    the field of definition of the CM.

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