Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations
نویسندگان
چکیده
We study irreducible odd mod p Galois representations ?¯:Gal(F??F)?G(F?p), for F a totally real number field and G general reductive group. For p?G,F0, we show that any ?¯ lifts locally, at places above to de Rham Hodge–Tate regular representations, has geometric p-adic lift. also prove non-geometric lifting results without oddness assumption.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2021
ISSN: ['1547-7398', '0012-7094']
DOI: https://doi.org/10.1215/00127094-2021-0003