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Higher structures and operadic calculus

Record Type:	Electronic resources : Monograph/item
Title/Author:	Higher structures and operadic calculus/ edited by Bruno Vallette.
other author:	Vallette, Bruno.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	x, 341 p. :ill., digital ;24 cm.
[NT 15003449]:	Foreword -- 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.
Contained By:	Springer Nature eBook
Subject:	Algebra. -
Online resource:	https://doi.org/10.1007/978-3-031-77779-0
ISBN:	9783031777790

Higher structures and operadic calculus
Higher structures and operadic calculus[electronic resource] /edited by Bruno Vallette. - Cham :Springer Nature Switzerland :2025. - x, 341 p. :ill., digital ;24 cm. - Advanced courses in mathematics - CRM Barcelona,2297-0312. - Advanced courses in mathematics - CRM Barcelona..

Foreword -- 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.

This 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.

ISBN: 9783031777790

Standard No.: 10.1007/978-3-031-77779-0doiSubjects--Topical Terms:

516203
Algebra.

LC Class. No.: QA152.3

Dewey Class. No.: 512

Higher structures and operadic calculus
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245 0 0 $a Higher structures and operadic calculus $h [electronic resource] / $c edited by Bruno Vallette.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a x, 341 p. : $b ill., digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics - CRM Barcelona, $x 2297-0312
505 0 $a Foreword -- 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.
520 $a This 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.
650 0 $a Algebra. $3 516203
650 0 $a Calculus. $3 517463
650 0 $a Operads. $3 752049
650 1 4 $a Category Theory, Homological Algebra. $3 899944
650 2 4 $a Algebraic Topology. $3 891269
650 2 4 $a Algebraic Geometry. $3 893861
700 1 $a Vallette, Bruno. $3 1620407
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Advanced courses in mathematics - CRM Barcelona. $3 1542351
856 4 0 $u https://doi.org/10.1007/978-3-031-77779-0
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