MARC Record from marc_columbia

LEADER: 03986cam a22004577a 4500
001 8144389
005 20221201055151.0
008 100125t20092009sz a b 100 0 eng d
010 $a 2010290768
020 $a9783037190739 (pbk.)
020 $a3037190736 (pbk.)
024 $a99939817708
035 $a(OCoLC)ocn456177445
035 $a(OCoLC)456177445
035 $a(NNC)8144389
035 $a8144389
040 $aBTCTA$cBTCTA$dDLC$dYDXCP$dTXA$dOHX$dCHVBK$dUBY
042 $alccopycat
050 00 $aQC174.17.R46$bR45 2009
082 00 $a530.14/3$222
245 00 $aRenormalization and Galois theories /$cAlain Connes, Frédéric Fauvet, Jean-Pierre Ramis, editors.
260 $aZürich :$bEuropean Mathematical Society,$c[2009], ©2009.
300 $aviii, 270 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aIRMA lectures in mathematics and theoretical physics ;$v15
500 $a"This volume presents a selection of worked-out lectures ... that were held in March 2006 at the workshop 'Renormalization and Galois theories' at CIRM, Marseilles, France."--Pref.
504 $aIncludes bibliographical references.
505 0 $aNoncommutative geometry and motives (à quoi servent les endomotifs?) / Caterina Consani -- Renormalisation of non-commutative field theories / Vincent Rivasseau and Fabien Vignes-Tourneret -- Mould expansions for the saddle-node and resurgence monomials / David Sauzin -- Galois theory, motives and transcendental numbers / Yves André -- The combinatorics of Bogoliubov?s recursion in renormalization / Kurusch Ebrahimi-Fard and Dominique Manchon -- (Non)commutative Hopf algebras of trees and (quasi)symmetric functions / Michael E. Hoffman -- Formal differential equations and renormalization / Frédéric Menous -- Feynman integrals and multiple polylogarithms / Stefan Weinzierl.
520 $a"This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both reseachers and graduate students in mathematics and physics."--Publisher's description.
650 0 $aRenormalization (Physics)$vCongresses.
650 0 $aGalois theory$vCongresses.
650 7 $aGalois-Theorie.$2idszbz
650 7 $aRenormierung.$2idszbz
700 1 $aConnes, Alain.$0http://id.loc.gov/authorities/names/n80137982
700 1 $aFauvet, F.$q(Frédéric)$0http://id.loc.gov/authorities/names/n2003003530
700 1 $aRamis, J.-P.$q(Jean-Pierre)$0http://id.loc.gov/authorities/names/n83232151
710 2 $aCentre national de rencontres mathématiques (France)$0http://id.loc.gov/authorities/names/n88267599
710 2 $aEuropean Mathematical Society.$0http://id.loc.gov/authorities/names/no99017212
830 0 $aIRMA lectures in mathematics and theoretical physics ;$v15.$0http://id.loc.gov/authorities/names/n2002015605
852 00 $bmat$hQC174.17.R46$iR45 2009