Weak local-global compatibility and ordinary representations (Q1650210)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak local-global compatibility and ordinary representations |
scientific article |
Statements
Weak local-global compatibility and ordinary representations (English)
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2 July 2018
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Summary: 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 \textit{C. Breuil} and \textit{F. Herzig} [Duke Math. J. 164, No. 7, 1271--1352 (2015; Zbl 1321.22019)].
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Galois representations
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Shimura varieties
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Langlands program
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