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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNoncommutative Geometry and Physics: Renormalisation, Motives, Index Theory$b[electronic resource] /$fAlan L. Carey
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2011
215   $a1 online resource (280 pages)
225 0 $aESI Lectures in Mathematics and Physics (ESI)
327   $tNotes on Feynman integrals and renormalization /$rChristoph Bergbauer --$tIntroduction to motives /$rSujatha Ramdorai, Jorge Plazas, Matilde Marcolli --$tA short survey on pre-Lie algebras /$rDominique Manchon --$tDivergent multiple sums and integrals with constraints: a comparative study /$rSylvie Paycha --$tSpectral triples: examples and index theory /$rAlan L. Carey, John Phillips, Adam Rennie.
330   $aThis collection of expository articles grew out of the workshop "Number Theory and Physics" held in March 2009 at the The Erwin Schro?dinger 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.
517   $aNoncommutative Geometry and Physics
606   $aCalculus & mathematical analysis$2bicssc
606   $aGlobal analysis, analysis on manifolds$2msc
606   $aNumber theory$2msc
606   $aFunctional analysis$2msc
606   $aQuantum theory$2msc
615 07$aCalculus & mathematical analysis
615 07$aGlobal analysis, analysis on manifolds
615 07$aNumber theory
615 07$aFunctional analysis
615 07$aQuantum theory
686   $a58-xx$a11-xx$a46-xx$a81-xx$2msc
702   $aCarey$b Alan L.
801  0$bch0018173
906   $aBOOK
912   $a9910151928303321
996   $aNoncommutative Geometry and Physics: Renormalisation, Motives, Index Theory$92571518
997   $aUNINA