Author:
Calegari Frank,Emerton Matthew,Gee Toby,Mavrides Lambros
Abstract
We prove the explicit version of the Buzzard–Diamond–Jarvis conjecture formulated by Dembeleet 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.
Subject
Algebra and Number Theory
Reference15 articles.
1. The field-of-norms functor and the Hilbert symbol for higher local fields
2. Zyklische algebraische Funktionenkörper vom Grade p n über endlichem Konstantenkörper der Charakteristik p;Schmid;J. Reine Angew. Math.,1936
3. Moduli of finite flat group schemes, and modularity
4. Extensions de Lie et groupes d’automorphismes de corps locaux;Laubie;Compositio Math.,1988
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