Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Breuil--Mezard conjecture for quaternion algebras   We formulate a version of the Breuil--Mezard conjecture for quaternion
algebras, and show that it follows from the Breuil--Mezard conjecture for GL_2.
In the course of the proof we establish a mod p analogue of the
Jacquet--Langlands correspondence for representations of GL_2(k), k a finite
field of characteristic p.

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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys