Noncommutative Geometry in the Framework of Differential Graded Categories

Details Noncommutative Geometry in the Framework of Differential Graded Categories Noncommutative Geometry in the Framework of Differential Graded Categories

2008-05-12

arxiv.org/abs/0805.1628v2

Mathematics

Algebraic Geometry

19 pages. Minor corrections and one reference added; to appear in the proceedings volume of AGAQ Istanbul, 2006

Scientific paper

In this survey article we discuss a framework of noncommutative geometry with differential graded categories as models for spaces. We outline a construction of the category of noncommutative spaces and also include a discussion on noncommutative motives. We propose a motivic measure with values in a motivic ring. This enables us to introduce certain zeta functions of noncommutative spaces.

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