Explicit Serre weights for two-dimensional Galois representations

Frank Calegari; Matthew Emerton; Toby Gee; Lambros Mavrides

doi:10.1112/s0010437x17007254

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arXiv · 1608.06059

Explicit Serre weights for two-dimensional Galois representations

Frank Calegari·Matthew Emerton·Toby Gee·Lambros Mavrides

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Abstract

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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Frank Calegari, Matthew Emerton, Toby Gee, Lambros Mavrides. 2016-08-22. Explicit Serre weights for two-dimensional Galois representations. https://doi.org/10.1112/s0010437x17007254

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