On a geometric description of $Gal(\bar{\bf Q}_p/{\bf Q}_p)$ and a p-adic avatar of $\hat{GT}$
| dc.creator | André, Yves | |
| dc.date | 2002-03-18 | |
| dc.date | 2002-10-24 | |
| dc.date.accessioned | 2026-07-07T04:47:08Z | |
| dc.date.available | 2026-07-07T04:47:08Z | |
| dc.description | We develop a $p$-adic version of the so-called Grothendieck-Teichmüller theory (which studies $Gal(\bar{\bf Q}/{\bf Q})$ by means of its action on profinite braid groups or mapping class groups). For every place $v$ of $\bar{\bf Q}$, we give some geometrico-combinatorial descriptions of the local Galois group $Gal(\bar{\bf Q}_v/{\bf Q}_v)$ inside $Gal(\bar{\bf Q}/{\bf Q})$. We also show that $Gal(\bar{\bf Q}_p/{\bf Q}_p)$ is the automorphism group of an appropriate $π_1$-functor in $p$-adic geometry. | |
| dc.description | version to appear in Duke Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0203181 | |
| dc.identifier | http://arxiv.org/abs/math/0203181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63594 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11R32, 14H30, 14G22, 14G20, 20F28, 20F36 | |
| dc.title | On a geometric description of $Gal(\bar{\bf Q}_p/{\bf Q}_p)$ and a p-adic avatar of $\hat{GT}$ | |
| dc.type | text |