Motivic structures in non-commutative geometry
Algebraic Geometry
2010-03-17 v1
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.
Keywords
Cite
@article{arxiv.1003.3210,
title = {Motivic structures in non-commutative geometry},
author = {D. Kaledin},
journal= {arXiv preprint arXiv:1003.3210},
year = {2010}
}
Comments
LaTeX 2e, 24 pages.