dc.citation.startPage |
vi+150 |
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dc.citation.title |
LES MÉMOIRES DE LA SOCIÉTÉ MATHÉMATIQUE DE FRANCE |
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dc.citation.volume |
173 |
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dc.contributor.author |
Park, Chol |
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dc.contributor.author |
Qian, Zicheng |
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dc.date.accessioned |
2023-12-21T14:13:11Z |
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dc.date.available |
2023-12-21T14:13:11Z |
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dc.date.created |
2022-01-02 |
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dc.date.issued |
2022-05 |
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dc.description.abstract |
Let p be a prime number, n>2 an integer, and F a CM field in which p splits completely. Assume that a continuous automorphic Galois representation r¯¯:Gal(Q¯¯¯¯/F)→GLn(F¯¯¯¯p) is upper-triangular and satisfies certain genericity conditions at a place w above~p, and that every subquotient of r¯¯|Gal(Q¯¯¯¯¯p/Fw) of dimension >2 is Fontaine-Laffaille generic. In this paper, we show that the isomorphism class of r¯¯|Gal(Q¯¯¯¯¯p/Fw) is determined by GLn(Fw)-action on a space of mod p algebraic automorphic forms cut out by the maximal ideal of a Hecke algebra associated to r¯¯. In particular, we show that the wildly ramified part of r¯¯|Gal(Q¯¯¯¯¯p/Fw) is determined by the action of Jacobi sum operators (seen as elements of Fp[GLn(Fp)]) on this space. |
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dc.identifier.bibliographicCitation |
LES MÉMOIRES DE LA SOCIÉTÉ MATHÉMATIQUE DE FRANCE, v.173, pp.vi+150 |
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dc.identifier.doi |
10.24033/msmf.481 |
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dc.identifier.issn |
0249-633X |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/55892 |
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dc.identifier.url |
https://smf.emath.fr/publications/sur-la-compatibilite-local-global-modulo-p-pour-mathrmglnmathbbqp-dans-le-cas |
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dc.language |
영어 |
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dc.publisher |
Société mathématique de France |
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dc.title |
On mod p local-global compatibility for GL_n(Q_p) in the ordinary case |
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dc.type |
Article |
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dc.description.isOpenAccess |
FALSE |
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dc.description.journalRegisteredClass |
foreign |
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