Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An introduction to p-adic period rings   This paper is the augmented notes of a course I gave jointly with Laurent
Berger in Rennes in 2014. Its aim was to introduce the periods rings B crys and
B dR and state several comparison theorems between{\'e}tale and crystalline or
de Rham cohomologies for p-adic varieties.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex