ENGLISH

Simplicial Methods for Operads and Algebraic Geometry (Advanced Courses in Mathematics - CRM Barcelona)

By Ieke Moerdijk , Bertrand Toën

Book information

Publisher
Birkhäuser
Year
2010
ISBN
3034800517, 9783034800518
Language
english
Format
PDF
Filesize
2 MB (2474542 bytes)
Pages
196\186
Time added
2024-04-21 08:20:27

Description

This book is an introduction to two new topics in homotopy theory: Dendroidal Sets (by Ieke Moerdijk) and Derived Algebraic Geometry (by Bertrand Toën). The category of dendroidal sets is an extension of that of simplicial sets, based on rooted trees instead of linear orders, suitable as a model category for higher topological structures. Derived algebraic geometry deals with functors from simplicial commutative rings to simplicial sets subject to a homotopical descent condition. The material in the book is an enhanced version of lecture notes from courses given within a special year on Homotopy Theory and Higher Categories at the CRM in Barcelona.

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