Feynman amplitudes, periods, and motives : [electronic resource] international research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matematicas, Madris, Spain / Luis Alvarez-Consul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors.
Contributor(s): �Alvarez-C�onsul, Luis [editor.] | Burgos Gil, Jos�e I. (Jos�e Ignacio) [editor.] | Ebrahimi-Fard, Kurusch [editor.].
Material type:
BookSeries: Contemporary mathematics, v. 648.Publisher: Providence, Rhode Island : American Mathematical Society, [2015]Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeSubject(s): Mathematical physics -- Congresses | Perturbation (Quantum dynamics) -- Congresses | Perturbation (Mathematics) -- Congresses | Quantum field theory -- Congresses | Number theory -- Algebraic number theory: local and $p$-adic fields -- Zeta functions and $L$-functions | Number theory -- Zeta and $L$-functions: analytic theory -- Multiple Dirichlet series and zeta functions and multizeta values | Algebraic geometry -- Cycles and subschemes -- Algebraic cycles | Algebraic geometry -- Cycles and subschemes -- (Equivariant) Chow groups and rings; motives | Algebraic geometry -- (Co)homology theory -- Motivic cohomology; motivic homotopy theory | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications | Several complex variables and analytic spaces -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations | Quantum theory -- General mathematical topics and methods in quantum theory -- Feynman integrals and graphs; applications of algebraic topology and algebraic geometry | Quantum theory -- Quantum field theory; related classical field theories -- Perturbative methods of renormalization | Quantum theory -- Quantum field theory; related classical field theories -- Feynman diagrams | Number theory -- Algebraic number theory: local and $p$-adic fields -- Zeta functions and $L$-functions | Number theory -- Zeta and $L$-functions: analytic theory -- Multiple Dirichlet series and zeta functions and multizeta values | Algebraic geometry -- Cycles and subschemes -- Algebraic cycles | Algebraic geometry -- Cycles and subschemes -- (Equivariant) Chow groups and rings; motives | Algebraic geometry -- (Co)homology theory -- Motivic cohomology; motivic homotopy theory | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications | Several complex variables and analytic spaces -- Deformations of analytic structures -- Period matrices, variation of Hodge structure; degenerations | Quantum theory -- General mathematical topics and methods in quantum theory -- Feynman integrals and graphs; applications of algebraic topology and algebraic geometry | Quantum theory -- Quantum field theory; related classical field theories -- Perturbative methods of renormalization | Quantum theory -- Quantum field theory; related classical field theories -- Feynman diagramsAdditional physical formats: Feynman amplitudes, periods, and motives :DDC classification: 530.15 Other classification: 11S40 | 11M32 | 14C25 | 14C15 | 14F42 | 16T05 | 32G20 | 81Q30 | 81T15 | 81T18 | 11S40 | 11M32 | 14C25 | 14C15 | 14F42 | 16T05 | 32G20 | 81Q30 | 81T15 | 81T18 Online resources: Contents | Contents Includes bibliographical references.
A note on twistor integrals / Spencer Bloch -- Multiple polylogarithms and linearly reducible Feynman graphs / Christian Bogner and Martin L�uders -- Comparison of motivic and simplicial operations in mod-$l$-motivic and �etale cohomology / Patrick Brosnan and Roy Joshua -- On the Broadhurst-Kreimer generating series for multiple zeta values / Sarah Carr, Herbert Gangl and Leila Schneps -- Dyson-Schwinger equations in the theory of computation / Colleen Delaney and Matilde Marcolli -- Scattering amplitudes, Feynman integrals and multiple polylogarithms / Claude Duhr -- Equations D3 and spectral elliptic curves / Vasily Golyshev and Masha Vlasenko -- Quantum fields, periods and algebraic geometry / Dirk Kreimer -- Renormalization, Hopf algebras and Mellin transforms / Erik Panzer -- Multiple zeta value cycles in low weight / Isma�el Soud�eres -- Periods and Hodge structures in perturbative quantum field theory / Stefan Weinzierl -- Some combinatorial interpretations in perturbative quantum field theory / Karen Yeats --
http://dx.doi.org/10.1090/conm/648/12995
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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