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Artículo
Correspondance de Jacquet-Langlands locale et congruences modulo l
dc.creator | Mínguez Espallargas, Alberto | es |
dc.creator | Sécherre, Vincent | es |
dc.date.accessioned | 2018-01-25T07:12:07Z | |
dc.date.available | 2018-01-25T07:12:07Z | |
dc.date.issued | 2017-05 | |
dc.identifier.citation | Mínguez Espallargas, A. y Sécherre, V. (2017). Correspondance de Jacquet-Langlands locale et congruences modulo l. Inventiones mathematicae, 208 (2), 553-631. | |
dc.identifier.issn | 0020-9910 | es |
dc.identifier.issn | 1432-1297 | es |
dc.identifier.uri | https://hdl.handle.net/11441/69499 | |
dc.description.abstract | Let F be a non-Archimedean local field of residual characteristic p, and be a prime number different from p. We consider the local Jacquet-Langlands correspondence between -adic discrete series of GLn(F) and an inner form GLm(D). We show that it respects the relationship of congruence modulo . More precisely, we show that two integral -adic discrete series of GLn(F) are congruent modulo if and only if the same holds for their Jacquet- Langlands transfers to GLm(D). We also prove that the Langlands-Jacquet morphism from the Grothendieck group of finite length -adic representations of GLn(F) to that of GLm(D) defined by Badulescu is compatible with reduction mod l. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Inventiones mathematicae, 208 (2), 553-631. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Representation theory | es |
dc.title | Correspondance de Jacquet-Langlands locale et congruences modulo l | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs00222-016-0696-y.pdf | es |
dc.identifier.doi | 10.1007/s00222-016-0696-y | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía | es |
idus.format.extent | 62 p. | es |
dc.journaltitle | Inventiones mathematicae | es |
dc.publication.volumen | 208 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 553 | es |
dc.publication.endPage | 631 | es |
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