Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic structures in non-commutative geometry   We review some recent results and conjectures saying that, roughly speaking,
periodic cyclic homology of a smooth non-commutative algebraic variety should
carry all the additional "motivic" structures possessed by the usual de Rham
cohomology of a smooth algebraic variety (specifically, an R-Hodge structure
for varieties over R, and a filtered Dieudonne module structure for varieties
over Z_p). To appear in Proc. ICM 2010.

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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol