Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Repr\'esentations galoisiennes p-adiques et (phi,tau)-modules   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 (phi,Gamma)-modules replacing the
p-cyclotomic extension by the extension K_infty obtained by adding to K a
compatible system of p^n-th roots of a fixed uniformizer pi of K. As a result,
we obtain a new classification of p-adic representations of G_K = Gal(Kbar/K)
by some (phi, \tau)-modules. We then make a link between the theory of
(phi,tau)-modules discussed above and the so-called theory of
(phi,N_nabla)$-modules developped by Kisin. As a corollary, we answer a
question of Tong Liu: we prove that, if K is a finite extension of Q_p, every
representation of G_K of E(u)-finite height is potentially semi-stable.

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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th