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Explicit Serre weights for two-dimensional Galois representations

  • Frank Calegari (a1), Matthew Emerton (a2), Toby Gee (a3) and Lambros Mavrides (a4)

Abstract

We prove the explicit version of the Buzzard–Diamond–Jarvis conjecture formulated by Dembele et al. (Serre weights and wild ramification in two-dimensional Galois representations, Preprint (2016), arXiv:1603.07708 [math.NT]). More precisely, we prove that it is equivalent to the original Buzzard–Diamond–Jarvis conjecture, which was proved for odd primes (under a mild Taylor–Wiles hypothesis) in earlier work of the third author and coauthors.

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[Wan16] Wang, X., 2016, in preparation.
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Explicit Serre weights for two-dimensional Galois representations

  • Frank Calegari (a1), Matthew Emerton (a2), Toby Gee (a3) and Lambros Mavrides (a4)

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