FAMILIES OF GALOIS REPRESENTATIONS AND (φ, τ )-MODULES
| hal.structure.identifier | Beijing International Center for Mathematical Research [BiCMR] | |
| dc.contributor.author | KARNATAKI, Aditya | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | POYETON, Léo | |
| dc.date.accessioned | 2024-04-04T02:40:16Z | |
| dc.date.available | 2024-04-04T02:40:16Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191050 | |
| dc.description.abstractEn | Let p be a prime, and let K be a finite extension of Qp, with absolute Galois group GK. Let π be a uniformizer of K and let K∞ be the Kummer extension obtained by adjoining to K a system of compatible p n-th roots of π, for all n, and let L be the Galois closure of K∞. Using these extensions, Caruso has constructed étale (φ, τ)-modules, which classify p-adic Galois representations of K. In this paper, we use locally analytic vectors and theories of families of φmodules over Robba rings to prove the overconvergence of (φ, τ)-modules in families. As examples, we also compute some explicit families of (φ, τ)-modules in some simple cases. | |
| dc.language.iso | en | |
| dc.title.en | FAMILIES OF GALOIS REPRESENTATIONS AND (φ, τ )-MODULES | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03800858 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03800858v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=KARNATAKI,%20Aditya&POYETON,%20L%C3%A9o&rft.genre=preprint |
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