Arithmetic $\D$-modules and Representations
| dc.creator | Lai, King Fai | |
| dc.date | 2008-02-15 | |
| dc.date.accessioned | 2026-07-07T09:21:12Z | |
| dc.date.available | 2026-07-07T09:21:12Z | |
| dc.description | We propose in this paper an approach to Breuil's conjecture on a Langlands correspondence between $p$-adic Galois representations and representations of $p$-adic Lie groups in $p$-adic topological vector spaces. We suggest that Berthelot's theory of arithmetic $D$-modules should give a $p$-adic analogue of Kashiwara's theory of $D$-modules for real Lie groups i.e. it should give a realization of the $p$-adic representations of a $p$-adic Lie group as spaces of overconvergent solutions of arithmetic $D$-modules which will come equipped with an action of the Galois group. We shall discuss the case of Siegel modular varieties as a possible testing ground for the proposal. | |
| dc.identifier | https://arxiv.org/abs/0802.2196 | |
| dc.identifier | http://arxiv.org/abs/0802.2196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154939 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11F80, 12H25, 11F33, 11F46, 14F10,14F30, 13D07, 13D25, 32C38 | |
| dc.title | Arithmetic $\D$-modules and Representations | |
| dc.type | text |