Table of contents
About this book
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.
Cyclic Cohomology Spectral Triples K-Theory Index Theory Geometric Analysis Riemann Hypothesis Arithmetic Algebraic Geometry Riemann-Roch strategy Alain Connes 70th birthday Baum-Connes conjecture Lie groupoids non-commutative geometry spectral geometry Gaussian curvature Dixmier traces quantum field theory