On Serre's reciprocity conjecture for 2-dimensional mod p representations of Gal(Q/Q)

• Autores: Chandrashekhar Khare, Jean-Pierre Wintenberger
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 169, Nº 1, 2009, págs. 229-253
• Idioma: inglés
• DOI: 10.4007/annals.2009.169.229
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• Resumen

  • We prove the existence in many cases of minimally ramified p-adic lifts of 2-dimensional continuous, odd, absolutely irreducible, mod p representations of the absolute Galois group of Q. It is predicted by Serre's conjecture that such representations arise from newforms of optimal level and weight.