LEADER 04060nam 22006495 450 001 9910370253203321 005 20250610110433.0 010 $a3-030-29597-4 024 7 $a10.1007/978-3-030-29597-4 035 $a(CKB)4900000000504998 035 $a(DE-He213)978-3-030-29597-4 035 $a(MiAaPQ)EBC6023000 035 $a(PPN)242848206 035 $a(MiAaPQ)EBC6022997 035 $a(MiAaPQ)EBC29092442 035 $a(EXLCZ)994900000000504998 100 $a20200113d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvances in Noncommutative Geometry $eOn the Occasion of Alain Connes' 70th Birthday /$fedited by Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (VII, 751 p. 402 illus., 18 illus. in color.) 311 08$a3-030-29596-6 327 $aForeword -- 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). 330 $aThis 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. 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aGeometry 606 $aNumber theory 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 606 $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aGlobal analysis (Mathematics) 615 0$aManifolds (Mathematics) 615 0$aGeometry. 615 0$aNumber theory. 615 14$aGlobal Analysis and Analysis on Manifolds. 615 24$aGeometry. 615 24$aNumber Theory. 676 $a512.55 702 $aChamseddine$b Ali$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aConsani$b Caterina$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHigson$b Nigel$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKhalkhali$b Masoud$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMoscovici$b Henri$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aYu$b Guoliang$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910370253203321 996 $aAdvances in Noncommutative Geometry$91668116 997 $aUNINA