Simplicial Methods for Operads and Algebraic Geometry

Authors:

ISBN: 978-3-0348-0051-8 (Print) 978-3-0348-0052-5 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-ix

  2. Lectures on Dendroidal Sets

    1. Front Matter

      Pages 1-3

    2. No Access

      Book Chapter

      Pages 5-10

      Operads

    3. No Access

      Book Chapter

      Pages 11-21

      Trees as operads

    4. No Access

      Book Chapter

      Pages 23-39

      Dendroidal sets

    5. No Access

      Book Chapter

      Pages 41-54

      Tensor product of dendroidal sets

    6. No Access

      Book Chapter

      Pages 55-67

      A Reedy model structure on dendroidal spaces

    7. No Access

      Book Chapter

      Pages 69-77

      Boardman–Vogt resolution and homotopy coherent nerve

    8. No Access

      Book Chapter

      Pages 79-92

      Inner Kan complexes and normal dendroidal sets

    9. No Access

      Book Chapter

      Pages 93-115

      Model structures on dendroidal sets

  3. Simplicial Presheaves and Derived Algebraic Geometry

    1. Front Matter

      Pages 119-119

    2. No Access

      Book Chapter

      Pages 121-126

      Motivation and objectives

    3. No Access

      Book Chapter

      Pages 127-141

      Simplicial presheaves as stacks

    4. No Access

      Book Chapter

      Pages 143-158

      Algebraic stacks

    5. No Access

      Book Chapter

      Pages 159-165

      Simplicial commutative algebras

    6. No Access

      Book Chapter

      Pages 167-177

      Derived stacks and derived algebraic stacks

    7. No Access

      Book Chapter

      Pages 179-184

      Examples of derived algebraic stacks

  4. Back Matter

    Pages 185-186