Simplicial Methods for Operads and Algebraic Geometry

This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. Moerdijk's lectures offer a detailed introduction to dendroidal sets, which were introduced by himself and Weiss as a foundation for the homotopy theory of o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Moerdijk, Ieke (Autor), Toën, Bertrand (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2010.
Edición:1st ed. 2010.
Colección:Advanced Courses in Mathematics - CRM Barcelona,
Temas:
Algebra, Homological.
Algebraic topology.
Category Theory, Homological Algebra.
Algebraic Topology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Lectures on Dendroidal Sets
  • Operads
  • Trees as operads
  • Dendroidal sets
  • Tensor product of dendroidal sets
  • A Reedy model structure on dendroidal spaces
  • Boardman-Vogt resolution and homotopy coherent nerve
  • Inner Kan complexes and normal dendroidal sets
  • Model structures on dendroidal sets
  • Simplicial Presheaves and Derived Algebraic Geometry
  • Motivation and objectives
  • Simplicial presheaves as stacks
  • Algebraic stacks
  • Simplicial commutative algebras
  • Derived stacks and derived algebraic stacks
  • Examples of derived algebraic stacks.

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