Weak local-global compatibility and ordinary representations
classification
🧮 math.NT
math.AGmath.RT
keywords
ordinaryablebreuilcasecompatibilityconjectureconstructionfontaine-mazur
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We introduce a general formalism with minimal requirements under which we are able to prove the pro-modular Fontaine-Mazur conjecture. We verify it in the ordinary case using the recent construction of Breuil and Herzig.
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