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 operad...
| Κύριοι συγγραφείς: | , |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Basel :
Springer Basel,
2010.
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| Σειρά: | Advanced Courses in Mathematics - CRM Barcelona
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
