Compatibility of local and global Langlands correspondences
| dc.creator | Taylor, Richard | |
| dc.creator | Yoshida, Teruyoshi | |
| dc.date | 2004-12-18 | |
| dc.date | 2005-04-07 | |
| dc.date.accessioned | 2026-07-07T05:15:25Z | |
| dc.date.available | 2026-07-07T05:15:25Z | |
| dc.description | We prove the compatibility of local and global Langlands correspondences for GL_n, which was proved up to semisimplification by Harris-Taylor. More precisely, for the n-dimensional l-adic representation R_l(Π) of the Galois group of a CM-field L attached to a conjugate self-dual regular algebraic cuspidal automorphic representation Π, which is square integrable at some finite place, we show that Frobenius semisimplification of the restriction of R_l(Π) to the decomposition group of a prime v of L not dividing l corresponds to Π_v by the local Langlands correspondence. As a corollary, we show the irreducibility of R_l(Π) when Π_v is square integrable for some finite place v outside l. We also obtain conditional results in the case v|l. | |
| dc.description | 31 pages; added conditional results in the case v|l | |
| dc.identifier | https://arxiv.org/abs/math/0412357 | |
| dc.identifier | http://arxiv.org/abs/math/0412357 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73621 | |
| dc.subject | Number Theory | |
| dc.subject | 11R39; 11F70, 11F80, 14G35 | |
| dc.title | Compatibility of local and global Langlands correspondences | |
| dc.type | text |