Holmstrom Noncommutative geometry

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http://www.ncatlab.org/nlab/show/Kapranov%27s+noncommutative+geometry

http://mathoverflow.net/questions/15327/what-properties-should-spectrum-of-noncommutative-ring-have

A book by Connes and Marcolli: Noncommutative geometry, quantum fields and motives.

http://www.neverendingbooks.org/index.php/langlands-versus-connes.html

http://mathoverflow.net/questions/54186/reference-learning-noncommutative-geometry-and-c-algebras

Connes: Noncommutative geometry (1994). (Book)

Could check arxiv preprints of Michel Van den Bergh

nlab: spectral triple

http://www.noncommutative.org/index.php/top-10-noncommutative-geometry-books-for-newbies/

arXiv:1109.6688 Sklyanin algebras revisited from arXiv Front: math.AG by Igor Nikolaev It is proved that the Sklyanin algebra on 4 generators and 6 relations modulo an ideal is isomorphic to a dense sub-algebra of the noncommutative torus. As a corollary one gets a functor between the categories of elliptic curves and noncommutative tori.

This could be of some interest.

A survey by Mahanta

Lectures of Ginzburgeometry/0506603)

See arXiv articles by Manin. Survey article by Connes?

Authors to explore when time: Connes, Kontsevich, Feigin, Tsygan

Book: Surveys in noncommutative geometry

Lapidus: In search of the Riemann zeros

Artin and Zhang: Noncommutative projective schemes (1994)

nlab on noncomm geom

nLab on noncommutative algebraic geometry, see also NAG canon, noncomm scheme, descent in NAG.

http://ncatlab.org/nlab/show/spectrum+of+an+abelian+category

http://nlab.mathforge.org/nlab/show/Gabriel-Rosenberg+theorem

nlab on derived noncomm geom

nlab on the work of Maszczyk

http://nlab.mathforge.org/nlab/show/operator+algebra

http://ncatlab.org/nlab/show/locally+affine+space mentions noncommutative smooth spaces

Relevant blogs?

Cortinas has some papers on various forms of cohomology for noncommutative schemes (I think in the sense of Kapranov). All his papers seem to be on the arXiv

nLab page on Noncommutative geometry

Created on June 9, 2014 at 21:16:13 by Andreas Holmström