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Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	April 2025
Genre:	Schulbücher
	Algebraic Geometry / Algebraic Topology / Algebraische Geometrie / Algebraische Topologie / braid group / Category Theory, Homological Algebra / deformation theory / Drinfeld associators / formality of algebraic structures / Grothendieck-Teichmüller group / higher categories / mixed Hodge structures / operads / rational homotopy theory mehr...
ISBN:	9783031777783
EAN-Code:	9783031777783
Verlag:	Springer International Publishing
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 240 mm / B 168 mm / D
Seiten:	341
Illustration:	X, 341 p. 139 illus., schwarz-weiss Illustrationen
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.