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Noncommutative Geometry and Physics:...

Carey, Alan L.,

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Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory/ Alan L. Carey
other author:	Carey, Alan L.,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2011,
Description:	1 online resource (280 pages)
Subject:	Calculus & mathematical analysis -
Online resource:	https://doi.org/10.4171/008
Online resource:	https://www.ems-ph.org/img/books/carey_mini.jpg
ISBN:	9783037195086

Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory
Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory[electronic resource] /Alan L. Carey - Zuerich, Switzerland :European Mathematical Society Publishing House,2011 - 1 online resource (280 pages) - ESI Lectures in Mathematics and Physics (ESI).

Notes on Feynman integrals and renormalization /Christoph Bergbauer --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

This collection of expository articles grew out of the workshop "Number Theory and Physics" held in March 2009 at the The Erwin Schrödinger International Institute for Mathematical Physics, Vienna. The common theme of the articles is the influence of ideas from noncommutative geometry (NCG) on subjects ranging from number theory to Lie algebras, index theory, and mathematical physics. Matilde Marcolli's article gives a survey of relevant aspects of NCG in number theory, building on an introduction to motives for beginners by Jorge Plazas and Sujatha Ramdorai. A mildly unconventional view of index theory from the viewpoint of NCG is described in the article by Alan Carey, John Phillips and Adam Rennie. As developed by Alain Connes and Dirk Kreimer, NCG also provides insight into novel algebraic structures underlying many analytic aspects of quantum field theory. Dominique Manchon's article on pre-Lie algebras fits into this developing research area. This interplay of algebraic and analytic techniques also appears in the articles by Christoph Bergbauer, who introduces renormalisation theory and Feynman diagram methods, and Sylvie Paycha, who focuses on relations between renormalisation and zeta function techniques.

ISBN: 9783037195086

Standard No.: 10.4171/008doiSubjects--Topical Terms:

3480907
Calculus & mathematical analysis

Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory
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505 0 0 $t Notes on Feynman integrals and renormalization / $r Christoph Bergbauer -- $t Introduction to motives / $r Sujatha Ramdorai, Jorge Plazas, Matilde Marcolli -- $t A short survey on pre-Lie algebras / $r Dominique Manchon -- $t Divergent multiple sums and integrals with constraints: a comparative study / $r Sylvie Paycha -- $t Spectral triples: examples and index theory / $r Alan L. Carey, John Phillips, Adam Rennie.
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a This collection of expository articles grew out of the workshop "Number Theory and Physics" held in March 2009 at the The Erwin Schrödinger International Institute for Mathematical Physics, Vienna. The common theme of the articles is the influence of ideas from noncommutative geometry (NCG) on subjects ranging from number theory to Lie algebras, index theory, and mathematical physics. Matilde Marcolli's article gives a survey of relevant aspects of NCG in number theory, building on an introduction to motives for beginners by Jorge Plazas and Sujatha Ramdorai. A mildly unconventional view of index theory from the viewpoint of NCG is described in the article by Alan Carey, John Phillips and Adam Rennie. As developed by Alain Connes and Dirk Kreimer, NCG also provides insight into novel algebraic structures underlying many analytic aspects of quantum field theory. Dominique Manchon's article on pre-Lie algebras fits into this developing research area. This interplay of algebraic and analytic techniques also appears in the articles by Christoph Bergbauer, who introduces renormalisation theory and Feynman diagram methods, and Sylvie Paycha, who focuses on relations between renormalisation and zeta function techniques.
650 0 7 $a Calculus & mathematical analysis $2 bicssc $3 3480907
650 0 7 $a Global analysis, analysis on manifolds $2 msc $3 3480808
650 0 7 $a Number theory $v Problems, exercises, etc. $3 1232300
650 0 7 $a Functional analysis $3 731345
650 0 7 $a Quantum theory $3 704055
700 1 $a Carey, Alan L., $e editor. $3 3481003
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