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1. |
Record Nr. |
UNINA9910151928303321 |
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Titolo |
Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory [[electronic resource] /] / Alan L. Carey |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (280 pages) |
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Collana |
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ESI Lectures in Mathematics and Physics (ESI) |
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Classificazione |
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Soggetti |
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Calculus & mathematical analysis |
Global analysis, analysis on manifolds |
Number theory |
Functional analysis |
Quantum theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Notes on Feynman integrals and renormalization / Christoph Bergbauer -- Introduction to motives / Sujatha Ramdorai, Jorge Plazas, Matilde Marcolli -- A short survey on pre-Lie algebras / Dominique Manchon -- Divergent multiple sums and integrals with constraints: a comparative study / Sylvie Paycha -- Spectral triples: examples and index theory / Alan L. Carey, John Phillips, Adam Rennie. |
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Sommario/riassunto |
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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 |
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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. |
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2. |
Record Nr. |
UNISA996387914603316 |
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Autore |
Renwick James <1662-1688.> |
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Titolo |
Antipas, or, The dying testimony of Mr. James Renwick, Minister of the Gospel [[electronic resource] ] : who suffered at the grass-market of Edinburgh, Feb. 17, 1688 : his sentence was founded on these following heads : 1. Because he could not own James the VII, to be his lawful soverain, 2. Because he taught the unlawfulness of paying the cess expresly [sic] exacted for supressing of the faithful and free-preaching of the Gospel, 3. Because he taught, that it was the people's duty, to carry arms at the preaching of the Gospel (when it was persecuted) for defending of themselves, and resisting of unjust violence |
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Pubbl/distr/stampa |
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[Edinburgh, : s.n., 1688] |
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Descrizione fisica |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Reproduction of original in Union Theological Seminary Library, New York. |
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Sommario/riassunto |
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