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Advances in Noncommutative Geometry = On the Occasion of Alain Connes' 70th Birthday /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Advances in Noncommutative Geometry/ edited by Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu.
其他題名:	On the Occasion of Alain Connes' 70th Birthday /
其他作者:	Chamseddine, Ali.
面頁冊數:	VII, 751 p. 402 illus., 18 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Global analysis (Mathematics). -
電子資源:	https://doi.org/10.1007/978-3-030-29597-4
ISBN:	9783030295974

Advances in Noncommutative Geometry = On the Occasion of Alain Connes' 70th Birthday /
Advances in Noncommutative GeometryOn the Occasion of Alain Connes' 70th Birthday /[electronic resource] :edited by Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu. - 1st ed. 2019. - VII, 751 p. 402 illus., 18 illus. in color.online resource.

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).

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.

ISBN: 9783030295974

Standard No.: 10.1007/978-3-030-29597-4doiSubjects--Topical Terms:

1255807
Global analysis (Mathematics).

LC Class. No.: QA614-614.97

Dewey Class. No.: 514.74

Advances in Noncommutative Geometry = On the Occasion of Alain Connes' 70th Birthday /
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