On Galois representations and Hilbert-Siegel modular forms
| dc.creator | Sorensen, Claus M. | |
| dc.date | 2008-06-30 | |
| dc.date.accessioned | 2026-07-07T09:47:31Z | |
| dc.date.available | 2026-07-07T09:47:31Z | |
| dc.description | In this paper, we associate Galois representations to globally generic cuspidal automorphic representations on GSp(4), over a totally real field F, which are Steinberg at some finite place. This association is compatible with the local Langlands correspondence for GSp(4) studied recently in a preprint of Gan and Takeda. As a corollary, we relate the rank of the monodromy operator at p to the dimensions of the parahoric fixed spaces at p. The Galois representations are constructed by first passing to GL(4) over a CM extension, then applying the book of Harris-Taylor plus a refinement due to Taylor-Yoshida, and finally descending to F by a delicate patching argument. This is a variation of the techniques used by Blasius and Rogawski in order to attach motives to Hilbert modular forms. | |
| dc.description | 43 pages, comments are very welcome | |
| dc.identifier | https://arxiv.org/abs/0806.4967 | |
| dc.identifier | http://arxiv.org/abs/0806.4967 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163908 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11F33, 11F41, 11F70, 11F80 | |
| dc.title | On Galois representations and Hilbert-Siegel modular forms | |
| dc.type | text |