Corpus ID: 203560923

Représentations galoisiennes p-adiques et (φ, τ )-modules

@inproceedings{Caruso2012RepresentationsGP,
  title={Représentations galoisiennes p-adiques et ($\phi$, $\tau$ )-modules},
  author={Xavier Caruso},
  year={2012}
}
Let p be an odd prime number and K be a p-adic field. In this paper, we develop an analogue of Fontaine’s theory of (φ,Γ)-modules replacing the p-cyclotomic extension by the extension K∞ obtained by adding to K a compatible system of p-th roots of a fixed uniformizer π of K. As a result, we obtain a new classification of p-adic representations of GK = Gal(K̄/K) by some (φ, τ)-modules. We then make a link between the theory of (φ, τ)-modules discussed above and the so-called theory of (φ,N… Expand

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