Clay Mathematics Proceedings
Volume: 11; 2010; 675 pp; Softcover
MSC: Primary 58;

Print ISBN: 978-0-8218-5203-3
Product Code: CMIP/11
List Price: $145.00
AMS Member Price: $116.00
MAA Member Price: $130.50

Quanta of Maths

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Edited by Etienne Blanchard; David Ellwood; Masoud Khalkhali; Matilde Marcolli; Henri Moscovici; Sorin Popa

A co-publication of the AMS and Clay Mathematics Institute

The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics.

Specific themes covered by the articles are as follows:

entropy in operator algebras, regular $C^*$-algebras of integral domains, properly infinite $C^*$-algebras, representations of free groups and 1-cohomology, Leibniz seminorms and quantum metric spaces;
von Neumann algebras, fundamental Group of $\mathrm{II}_1$ factors, subfactors and planar algebras;
Baum-Connes conjecture and property T, equivariant K-homology, Hermitian K-theory;
cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem;
noncommutative geometry and space-time, spectral action principle, quantum gravity, noncommutative ADHM and instantons, non-compact spectral triples of finite volume, noncommutative coordinate algebras;
Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities;
cyclotomy and analytic geometry over $F_1$, quantum modular forms;
differential K-theory, cyclic theory and S-cohomology.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Readership

Graduate students and research mathematicians interested in recent developments in various areas of mathematics.

Quanta of Maths

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Title (HTML): Quanta of Maths

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Author(s) (Product display): Etienne Blanchard; David Ellwood; Masoud Khalkhali; Matilde Marcolli; Henri Moscovici; Sorin Popa

Affiliation(s) (HTML): University of Paris 7, Paris, France; Clay Mathematics Institute, Cambridge, MA; University of Western Ontario, London, ON, Canada; California Institute of Technology, Pasadena, CA; Ohio State University, Columbus, OH; University of California, Los Angeles, Los Angeles, CA

Publisher Blurb: A co-publication of the AMS and Clay Mathematics Institute

Abstract:

entropy in operator algebras, regular $C^*$-algebras of integral domains, properly infinite $C^*$-algebras, representations of free groups and 1-cohomology, Leibniz seminorms and quantum metric spaces;
von Neumann algebras, fundamental Group of $\mathrm{II}_1$ factors, subfactors and planar algebras;
Baum-Connes conjecture and property T, equivariant K-homology, Hermitian K-theory;
cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem;
noncommutative geometry and space-time, spectral action principle, quantum gravity, noncommutative ADHM and instantons, non-compact spectral triples of finite volume, noncommutative coordinate algebras;
Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities;
cyclotomy and analytic geometry over $F_1$, quantum modular forms;
differential K-theory, cyclic theory and S-cohomology.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Book Series Name: Clay Mathematics Proceedings

Volume: 11

Publication Month and Year: 2011-01-06

Page Count: 675

Cover Type: Softcover

Print ISBN-13: 978-0-8218-5203-3

Print ISSN: 1534-6455

Primary MSC: 58

Textbook?: false

Applied Math?: false

MAA Book?: false

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Publisher (non-AMS): A co-publication of the AMS and Clay Mathematics Institute

SXG Subject: GI; AA; GT

Print Price 1 Label: List

Print Price 1: 145.00

Print Price 2 Label: AMS Member

Print Price 2: 116.00

Print Price 3 Label: MAA Member

Print Price 3: 130.50

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Review Copy: https://www.ams.org/exam-desk-review-request?&pisbn=978-0-8218-5203-3&ppc=CMIP/11&title=Quanta%20of%20Maths&author=Etienne%20Blanchard%3B%20David%20Ellwood%3B%20Masoud%20Khalkhali%3B%20Matilde%20Marcolli%3B%20Henri%20Moscovici%3B%20Sorin%20Popa&type=R

Readership:

Graduate students and research mathematicians interested in recent developments in various areas of mathematics.

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