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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 848 | - |
dc.citation.startPage | 790 | - |
dc.citation.title | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | - |
dc.citation.volume | 117 | - |
dc.contributor.author | Le, Daniel | - |
dc.contributor.author | Morra, Stefano | - |
dc.contributor.author | Park, Chol | - |
dc.date.accessioned | 2023-12-21T20:08:19Z | - |
dc.date.available | 2023-12-21T20:08:19Z | - |
dc.date.created | 2019-02-08 | - |
dc.date.issued | 2018-10 | - |
dc.description.abstract | Let F/Q be a CM field where p splits completely and (r) over bar : Gal((Q) over bar /F) -> GL(3)((F) over bar (p)) a continuous modular Galois representation. Assume that (r) over bar is non-ordinary and non-split reducible (niveau 2) at a place w above p. We show that the isomorphism class of (r) over bar vertical bar(Gal((F) over barw/Fw)) is determined by the GL(3)(F-w)-action on the space of mod p algebraic automorphic forms using the refined Hecke action of Herzig, Le and Morra [Compos. Math. 153 (2017) 2215-2286]. We also give a nearly optimal weight elimination result for niveau 2 Galois representations compatible with the explicit conjectures of Gee, Herzig and Savitt [J. Eur. Math. Soc., to appear] and Herzig [Duke Math. J. 149 (2009) 37-116]. Moreover, we prove the modularity of certain Serre weights, in particular, when the Fontaine-Laffaille invariant takes special value infinity, our methods establish the modularity of a certain shadow weight. | - |
dc.identifier.bibliographicCitation | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, v.117, pp.790 - 848 | - |
dc.identifier.doi | 10.1112/plms.12148 | - |
dc.identifier.issn | 0024-6115 | - |
dc.identifier.scopusid | 2-s2.0-85054168854 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/25839 | - |
dc.identifier.url | https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/plms.12148 | - |
dc.identifier.wosid | 000446314000005 | - |
dc.language | 영어 | - |
dc.publisher | WILEY | - |
dc.title | On mod p local-global compatibility for GL(3)(Q(p)) in the non-ordinary case | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | SEMI-STABLE REPRESENTATIONS | - |
dc.subject.keywordPlus | MODULAR-REPRESENTATIONS | - |
dc.subject.keywordPlus | GALOIS REPRESENTATIONS | - |
dc.subject.keywordPlus | ADIC REPRESENTATIONS | - |
dc.subject.keywordPlus | CONJECTURE | - |
dc.subject.keywordPlus | SERRE | - |
dc.subject.keywordPlus | WEIGHT | - |
dc.subject.keywordPlus | GL(2)(Q(P)) | - |
dc.subject.keywordPlus | UNITARY | - |
dc.subject.keywordPlus | BREUIL | - |
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