LEADER 03282nam 22005895 450 001 9910999793203321 005 20250418133440.0 010 $a9783031777790 010 $a3031777794 024 7 $a10.1007/978-3-031-77779-0 035 $a(CKB)38485094100041 035 $a(MiAaPQ)EBC32017237 035 $a(Au-PeEL)EBL32017237 035 $a(DE-He213)978-3-031-77779-0 035 $a(EXLCZ)9938485094100041 100 $a20250418d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHigher Structures and Operadic Calculus /$fedited by Bruno Vallette 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2025. 215 $a1 online resource (571 pages) 225 1 $aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0312 311 08$a9783031777783 311 08$a3031777786 327 $aForeword -- Alexander Berglund and Robin Stoll: Higher structures in rational homotopy theory -- Ricardo Campos and Albin Grataloup: Operadic deformation theory -- Coline Emprin and Geoffroy Horel: Weight structures and formality -- Damien Calaque and Victor Roca I Lucio: Associators from an operadic point of view -- Olivia Borghi and Marcy Robertson: Lecture notes on modular infinity operads and grothendieck-teichmüller theory. 330 $aThis book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the ?Higher homotopical structures? programme. Since their introduction 60 years ago, the notions of infinity algebras (Stasheff, Sugawara), higher categories (Boardman-Vogt), operads (May), and model categories (Quillen) have given rise to powerful new tools which made possible the resolution of open problems and prompted revolutions in many domains like algebraic topology (rational homotopy theory, faithful algebraic invariants of the homotopy type of spaces), deformation theory (formality theorems, formal moduli problems), and mathematical physics (quantization of Poisson manifolds, quantum field theories), to name but a few. This theory of higher structures using operadic calculus is currently under rapid development. The aim of this book is to provide the community with an accessible state-of-the-art, while at the same time giving interested researchers and advanced students a brief overview on the subject. 410 0$aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0312 606 $aAlgebra, Homological 606 $aAlgebraic topology 606 $aGeometry, Algebraic 606 $aCategory Theory, Homological Algebra 606 $aAlgebraic Topology 606 $aAlgebraic Geometry 615 0$aAlgebra, Homological. 615 0$aAlgebraic topology. 615 0$aGeometry, Algebraic. 615 14$aCategory Theory, Homological Algebra. 615 24$aAlgebraic Topology. 615 24$aAlgebraic Geometry. 676 $a512.6 700 $aVallette$b Bruno$0518092 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910999793203321 996 $aHigher Structures and Operadic Calculus$94375551 997 $aUNINA