Local to Global Compatibility on the Eigencurve (l not equal p)
| dc.creator | Paulin, Alexander | |
| dc.date | 2007-09-26 | |
| dc.date.accessioned | 2026-07-07T08:32:22Z | |
| dc.date.available | 2026-07-07T08:32:22Z | |
| dc.description | We generalise Coleman's construction of Hecke operators to define an action of GL_2(Q_l) on the space of finite slope overconvergent p-adic modular forms (l not equal p). In this way we associate to any C_p-valued point on the tame level N Coleman-Mazur eigencurve an admissible smooth representation of GL_2(Q_l) extending the classical construction. Using the Galois theoretic interpretation of the eigencurve we associate a 2-dimensional Weil-Deligne representation to such points and show that away from a discrete set they agree under the Local Langlands correspondence. | |
| dc.identifier | https://arxiv.org/abs/0709.4190 | |
| dc.identifier | http://arxiv.org/abs/0709.4190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138775 | |
| dc.subject | Number Theory | |
| dc.title | Local to Global Compatibility on the Eigencurve (l not equal p) | |
| dc.type | text |