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arXiv · 1003.3210

Motivic structures in non-commutative geometry

D. Kaledin
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Abstract

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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D. Kaledin. 2010-03-16. Motivic structures in non-commutative geometry. https://arxiv.org/abs/1003.3210

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