Proves automorphy lifting for essentially conjugate self-dual p-adic Galois representations over CM fields with reducible local conditions at p (JH factors dim ≤2), via R=T over GL2(Qp)-ordinary families, plus partial results on Breuil's socle conjecture in non-trianguline cases.
Vers le socle localement analytique pour GLn, II
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
$\mathrm{GL}_2(\mathbb{Q}_p)$-ordinary families and automorphy lifting
Proves automorphy lifting for essentially conjugate self-dual p-adic Galois representations over CM fields with reducible local conditions at p (JH factors dim ≤2), via R=T over GL2(Qp)-ordinary families, plus partial results on Breuil's socle conjecture in non-trianguline cases.