Higher Structures and Operadic Calculus (Advanced Courses in Mathematics - CRM Barcelona) - Tapa blanda

 
9783031777783: Higher Structures and Operadic Calculus (Advanced Courses in Mathematics - CRM Barcelona)
Tapa blanda
ISBN 10: 3031777786 ISBN 13: 9783031777783
Editorial: Birkhäuser, 2025

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Bruno Vallette is a mathematician at Université Sorbonne Paris Nord with main interests in operad theory, its generalizations and applications, including homotopy algebras and deformation theory. He co-authored the book 'Algebraic Operads' (2012).

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2025
Idioma
Inglés
ISBN 10 
3031777786
ISBN 13 
9783031777783
Encuadernación
Tapa blanda
Número de páginas
352
Editor
Vallette Bruno
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania