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Advances in noncommutative geometry : on the occasion of Alain Connes' 70th birthday / Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu, editors.

Chamseddine, Ali., editor.; Consani, Caterina., editor.; Higson, Nigel., editor.; Khalkhali, Masoud., editor.; Moscovici, Henri., editor.; Yu, Guoliang., editor.
2019
QA614 .A38 2019
Available Online
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Title
Advances in noncommutative geometry : on the occasion of Alain Connes' 70th birthday / Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu, editors.
ISBN
9783030295974 (electronic book)
3030295974 (electronic book)
9783030295967
DOI
https://doi.org/10.1007/978-3-030-29597-4
https://doi.org/10.1007/978-3-030-29
Published
Cham, Switzerland : Springer, [2019]
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-29597-4 doi
10.1007/978-3-030-29
Call Number
QA614 .A38 2019
Dewey Decimal Classification
514/.74
Summary
This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come. The pertinence and potency of new concepts and methods are concretely illustrated in each contribution. Much of the content is a direct outgrowth of the Noncommutative Geometry conference, held March 23-April 7, 2017, in Shanghai, China. The conference covered the latest research and future areas of potential exploration surrounding topology and physics, number theory, as well as index theory and its ramifications in geometry.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
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text file PDF
Source of Description
Description based on online resource; title from digital title page (viewed on February 06, 2020).
Added Author
Chamseddine, Ali., editor.
Consani, Caterina., editor.
Higson, Nigel., editor.
Khalkhali, Masoud., editor.
Moscovici, Henri., editor.
Yu, Guoliang., editor.
Available in Other Form
Print version: 9783030295967
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Foreword
A survey of spectral models of gravity coupled to matter (Chamseddine, van Suijlekom)
The Riemann-Roch strategy, complex lift of the scaling site (Connes, Consani)
The Baum-Connes conjecture: an extended survey (Aparicio et al.)
Lie groupoids, pseudodierential calculus and index theory (Debord, Skandalis)
Cyclic homology in a special world (Dundas)
Curvature in noncommutative geometry (Fathizadeh, Khalkhali)
Index theory and noncommutative geometry: a survey (Gorokhovsky, van Erp)
Modular Gaussian curvature (Lesch, Moscovici)
Advances in Dixmier traces and applications (Lord et al.)
Commutants mod normed ideals (Voiculescu)
Quantum eld theory on noncommutative space (Wulkenhaar)
Higher invariants in noncommutative geometry (Xie, Yu).

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