Noncommutative Geometry in the Framework of Differential Graded Categories
Identifieur interne : 000400 ( Main/Exploration ); précédent : 000399; suivant : 000401Noncommutative Geometry in the Framework of Differential Graded Categories
Auteurs : Snigdhayan Mahanta [Canada, États-Unis]Source :
- Progress in Mathematics ; 2010.
Abstract
Summary: In this survey 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.
Url:
DOI: 10.1007/978-0-8176-4831-2_9
Affiliations:
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<front><div type="abstract" xml:lang="en">Summary: In this survey 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.</div>
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