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Advances in Noncommutative Geometry

On the Occasion of Alain Connes' 70th Birthday
BuchGebunden
751 Seiten
Englisch
Springererschienen am14.01.20201st ed. 2019
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.mehr
Verfügbare Formate
BuchGebunden
EUR149,79
BuchKartoniert, Paperback
EUR149,79
E-BookPDF1 - PDF WatermarkE-Book
EUR139,09

Produkt

KlappentextThe 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.
Zusammenfassung
Presents an authoritative overview of noncommutative geometry by top experts in the field

Topics within the general framework of noncommutative geometry range from number theory to theoretical physics

Survey papers enable non-experts and general math/physics readers to gain an overview of the subject

Presents a discussion of open problems in selected areas

Contributions are invited by distinguished volume editors
Details
ISBN/GTIN978-3-030-29596-7
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2020
Erscheinungsdatum14.01.2020
Auflage1st ed. 2019
Seiten751 Seiten
SpracheEnglisch
Gewicht1274 g
IllustrationenVII, 751 p. 402 illus., 18 illus. in color.
Artikel-Nr.46775102

Inhalt/Kritik

Inhaltsverzeichnis
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).mehr

Schlagworte

Autor

Ali Chamseddine is professor of physics at the American University of Beirut and the IHES. Prof. Chamseddine is known for his contributions to particle physics, general relativity, and mathematical physics. He is the recipient of the Humboldt research prize (2001), the TWAS Physics prize (2009), and the G. Bude Medal, College de France (2007).

Caterina Consani is professor of mathematics at Johns Hopkins University since 2005. Prof. Consani's research interests include arithmetic geometry, algebraic geometry, and the connections with non-commutative geometry. She is an editorial board member of the Journal of Number Theory and of Rendiconti del Seminario Matematico della Università di Padova.


Nigel Higson is Evan Pugh professor of mathematics at Penn State University. He is a specialist in noncommutative geometry. Prof. Higson was elected Fellow of the Royal Society of Canada in 2000. In 2001 he received Penn State's Atherton Award for excellence in teaching.

Masoud Khalkhali is professor of mathematics at the University of Western Ontario and a recipient of the faculty scholar award and the graduate mentorship award. His research specialties include noncommutative geometry, mathematical physics, noncommutative spectral geometry, cyclic cohomology, quantum groups and Hopf algebras.

Henri Moscovici is professor and Alice Woods Chair in Mathematics at Ohio State University. His areas of research include noncommutative geometry, global analysis and representation theory of Lie groups. Prof. Moscovici has received a Guggenheim Fellowship award (1995) and a Distinguished University Scholar award (2001). He was visiting professor at College de France (1986, 2004 and 2013), Sackler Scholar at Tel Aviv University (1996), Clay Mathematics Institute Scholar at Harvard University (1999), and is a Fellow of the American Mathematical Society.

Guoliang Yu is the Powell Chair in mathematics and distinguished professor of mathematics at Texas A&M University. His research interests include noncommutative geometry, K-theory of operator algebras, index theory, topology and analysis of manifolds, geometric group theory. Prof. Yu serves on the editorial board of the Journal of Topology and Analysis, Journal of Noncommutative Geometry, Annals of K-Theory, and the Kyoto Journal of Mathematics.
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