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eBook Invitation to Noncommutative Geometry download

by Matilde Marcolli

eBook Invitation to Noncommutative Geometry download ISBN: 981270616X
Author: Matilde Marcolli
Publisher: World Scientific Pub Co Inc (February 11, 2008)
Language: English
Pages: 506
ePub: 1130 kb
Fb2: 1664 kb
Rating: 4.6
Other formats: azw mobi doc txt
Category: Math Sciences
Subcategory: Mathematics

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Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generali.

Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generalized sense). A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which. does not always equal.

Matilde Marcolli is an Italian mathematical physicist. Noncommutative Geometry, Quantum Fields and Motives. An Invitation to Noncommutative Geometry. American Mathematical Society.

Publisher: World Scientific. A Walk in the Noncommutative Garden (A Connes & M Marcolli). Renormalization of Noncommutative Quantum Field Theory (H Grosse & R Wulkenhaar). Lectures on Noncommutative Geometry (M Khalkhali). Noncommutative Bundles and Instantons in Tehran (G Landi & W D van Suijlekom). Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori (S Mahanta). Lectures on Derived and Triangulated Categories (B Noohi). Examples of Noncommutative Manifolds: Complex Tori and Spherical Manifolds (J Plazas).

Noncommutative geometry, quantum fields and motives. A Connes, M Marcolli. A walk in the noncommutative garden. An invitation to noncommutative geometry, 1-128, 2008. American Mathematical So. 2019. Gravity and the standard model with neutrino mixing. AH Chamseddine, A Connes, M Marcolli. Advances in Theoretical and Mathematical Physics 11 (6), 991-1089, 2007. Continued fractions, modular symbols, and noncommutative geometry. From physics to number theory via noncommutative geometry. Part I: Quantum statistical mechanics of Q-lattices.

urn:arXiv:math/0409520.

Top. American Libraries Canadian Libraries Universal Library Community Texts Project Gutenberg Biodiversity Heritage Library Children's Library. arxiv; additional collections; journals. urn:arXiv:math/0409520. ark:/13960/t6739704w.

The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.

Marcolli defines the noncommutative spaces and spectral triples, then describes noncommutable modular curves, quantum statistical mechanics and Galois theory, and noncommutative geometry at arithmetric infinity. Download (pdf, 926 Kb) Donate Read

Marcolli defines the noncommutative spaces and spectral triples, then describes noncommutable modular curves, quantum statistical mechanics and Galois theory, and noncommutative geometry at arithmetric infinity. Download (pdf, 926 Kb) Donate Read. Epub FB2 mobi txt RTF.

Authors:Matilde Marcolli (MPI Bonn). Submitted on 27 Sep 2004). Abstract: This is the text of a series of five lectures given by the author at the "Second Annual Spring Institute on Noncommutative Geometry and Operator Algebras" held at Vanderbilt University in May 2004. Subjects: Quantum Algebra (math. QA); Mathematical Physics (math-ph); Algebraic Geometry (math. AG); Number Theory (math

This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.