Uniform behavior of families of Galois representations on Siegel modular forms and the Endoscopy Conjecture
| dc.creator | Dieulefait, Luis | |
| dc.date | 2003-04-27 | |
| dc.date | 2007-04-30 | |
| dc.date.accessioned | 2026-07-07T07:58:36Z | |
| dc.date.available | 2026-07-07T07:58:36Z | |
| dc.description | We prove the following uniformity principle: if one of the Galois representations in the family attached to a genus two Siegel cusp form of weight $k>3$, "semistable" and with multiplicity one, is reducible (for an odd prime $p$),then all the representations in the family are reducible. This, combined with Serre's conjecture (which is now a theorem) gives a proof of the Endoscopy Conjecture. | |
| dc.description | revised version, to appear in Bol. Soc. Mat. Mexicana | |
| dc.identifier | https://arxiv.org/abs/math/0304432 | |
| dc.identifier | http://arxiv.org/abs/math/0304432 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128066 | |
| dc.subject | Number Theory | |
| dc.subject | 11F80, 11F46 | |
| dc.title | Uniform behavior of families of Galois representations on Siegel modular forms and the Endoscopy Conjecture | |
| dc.type | text |