[share_ebook] Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory (ESI Lectures in Mathematics and Physics)
Author: Alan Carey
Date: 20110615
ISBN: 3037190086
Pages: 280
Language: English
Publisher: European Mathematical Society
Category: Study
Tag: Mathematics
Posted on 20111105, by LionFar.
Description
Title:Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory (ESI Lectures in Mathematics and Physics) Author:Alan Carey Publisher:European Mathematical Society ISBN:3037190086 ISBN13: Date20110615 Pages:280 Language:English Format: PDF Size:3.4 MB 

Description:This collection of expository articles grew out of the workshop "Number Theory and Physics" held in March 2009 at The Erwin Schrodinger 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 preLie algebras fits into this developing research area. This interplay of algebraic and analytic techniques also appears in the articles by Christoph Bergbauer, who introduces renormalization theory and Feynman diagram methods, and Sylvie Paycha, who focuses on relations between renormalization and zeta function techniques. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. 

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