Explicit Serre weights for two-dimensional Galois representations

Abstract

We prove the explicit version of the Buzzard--Diamond--Jarvis conjecture formulated by Diamond--Dembélé--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.

arXiv commentFinal version, to appear in Compositio. 16 pages

References in corpus (5)

• On Serre's conjecture for mod l Galois representations over totally real fields
• The weight part of Serre's conjecture for GL(2)
• Extensions of rank one (phi, Gamma)-modules and crystalline representations
• Serre weights and wild ramification in two-dimensional Galois representations
• Serre weights for locally reducible two-dimensional Galois representations

Cited by in corpus (3)

• G-valued local deformation rings and global lifts
• A Serre weight conjecture for geometric Hilbert modular forms in characteristic p
• Serre weights and wild ramification in two-dimensional Galois representations