Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th BirthdayAli Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu Springer Nature, 13 de gen. 2020 - 751 pàgines 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. |
Continguts
1 | |
The RiemannRoch strategy | 53 |
an extended survey | 126 |
Lie groupoids pseudodifferential calculus and index theory | 245 |
Cyclic homology in a special world | 291 |
Curvature in noncommutative geometry | 320 |
a survey | 421 |
Modular Gaussian curvature | 463 |
Advances in Dixmier traces and applications | 491 |
Commutants mod normed ideals | 585 |
Quantum field theory on noncommutative spaces | 607 |
Higher invariants in noncommutative geometry | 691 |
Altres edicions - Mostra-ho tot
Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th ... Ali Chamseddine,Caterina Consani,Nigel Higson,Masoud Khalkhali,Henri Moscovici,Guoliang Yu Previsualització no disponible - 2021 |
Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th ... Ali Chamseddine,Caterina Consani,Nigel Higson,Masoud Khalkhali,Henri Moscovici,Guoliang Yu Previsualització no disponible - 2020 |
Frases i termes més freqüents
action Alain Connes algebra assembly map Banach Baum–Connes conjecture C∗-algebra classical coarse coefficients cohomology commutative compact operators complex construction cyclic homology defined Definition denote differential operators dimension Dirac operator discrete Dixmier trace element elliptic operators equation equivalence finite foliation formula Fredholm module Geom given higher rho invariant Hilbert space homomorphism homotopy hyperbolic groups ideal index theorem integral isomorphism K-homology K-theory Kasparov kernel Lafforgue Laplacian Lemma Lie group Lie groupoid linear locally compact manifold Math Mathematics matrix metric morphism multiplication noncommutative geometry noncommutative space norm Novikov conjecture obtained perturbation Phys positive scalar curvature proof Proposition pseudodifferential calculus pseudodifferential operators Q-lattices quotient renormalisation representation result Riemann Riemannian scalar curvature Section sequence singular smooth spectral triple Standard Model structure subgroup symbol symmetric tensor topological torus vector bundle zeta function