Feynman amplitudes, periods, and motives : international research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matematicas, Madris, Spain / [electronic resource]
Luis Alvarez-Consul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors.
- 1 online resource (pages cm.)
- Contemporary mathematics, v. 648 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
A note on twistor integrals / Multiple polylogarithms and linearly reducible Feynman graphs / Comparison of motivic and simplicial operations in mod-$l$-motivic and �etale cohomology / On the Broadhurst-Kreimer generating series for multiple zeta values / Dyson-Schwinger equations in the theory of computation / Scattering amplitudes, Feynman integrals and multiple polylogarithms / Equations D3 and spectral elliptic curves / Quantum fields, periods and algebraic geometry / Renormalization, Hopf algebras and Mellin transforms / Multiple zeta value cycles in low weight / Periods and Hodge structures in perturbative quantum field theory / Some combinatorial interpretations in perturbative quantum field theory / Spencer Bloch -- Christian Bogner and Martin L�uders -- Patrick Brosnan and Roy Joshua -- Sarah Carr, Herbert Gangl and Leila Schneps -- Colleen Delaney and Matilde Marcolli -- Claude Duhr -- Vasily Golyshev and Masha Vlasenko -- Dirk Kreimer -- Erik Panzer -- Isma�el Soud�eres -- Stefan Weinzierl -- Karen Yeats -- http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12995 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12996 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12997 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12998 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12999 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13000 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13001 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13002 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13003 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13004 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13005 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13006
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
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 diagrams.
QC20 / .F39 2015
530.15
Includes bibliographical references.
A note on twistor integrals / Multiple polylogarithms and linearly reducible Feynman graphs / Comparison of motivic and simplicial operations in mod-$l$-motivic and �etale cohomology / On the Broadhurst-Kreimer generating series for multiple zeta values / Dyson-Schwinger equations in the theory of computation / Scattering amplitudes, Feynman integrals and multiple polylogarithms / Equations D3 and spectral elliptic curves / Quantum fields, periods and algebraic geometry / Renormalization, Hopf algebras and Mellin transforms / Multiple zeta value cycles in low weight / Periods and Hodge structures in perturbative quantum field theory / Some combinatorial interpretations in perturbative quantum field theory / Spencer Bloch -- Christian Bogner and Martin L�uders -- Patrick Brosnan and Roy Joshua -- Sarah Carr, Herbert Gangl and Leila Schneps -- Colleen Delaney and Matilde Marcolli -- Claude Duhr -- Vasily Golyshev and Masha Vlasenko -- Dirk Kreimer -- Erik Panzer -- Isma�el Soud�eres -- Stefan Weinzierl -- Karen Yeats -- http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12995 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12996 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12997 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12998 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/12999 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13000 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13001 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13002 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13003 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13004 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13005 http://www.ams.org/conm/648/ http://dx.doi.org/10.1090/conm/648/13006
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
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 diagrams.
QC20 / .F39 2015
530.15