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Noncommutative Geometry in the Framework of Differential Graded Categories

Identifieur interne : 000400 ( Main/Exploration ); précédent : 000399; suivant : 000401

Noncommutative Geometry in the Framework of Differential Graded Categories

Auteurs : Snigdhayan Mahanta [Canada, États-Unis]

Source :

RBID : ISTEX:63B80214ED473B16044172A1E84CAFD882EC6E98

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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