Explicit Serre weights for two-dimensional Galois representations

Frank Calegari; Lambros Mavrides; Matthew Emerton; Toby Gee

arxiv: 1608.06059 · v2 · pith:QL6COBQCnew · submitted 2016-08-22 · 🧮 math.NT

Explicit Serre weights for two-dimensional Galois representations

Frank Calegari , Matthew Emerton , Toby Gee , Lambros Mavrides This is my paper

classification 🧮 math.NT

keywords buzzard--diamond--jarvisconjectureexplicitproveauthorcoauthorsdiamond--dembe--roberts

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We prove the explicit version of the Buzzard--Diamond--Jarvis conjecture formulated by Diamond--Demb\'el\'e--Roberts. 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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Explicit Serre weights for two-dimensional Galois representations

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