| 书目名称 | Simplicial Methods for Operads and Algebraic Geometry |
| 编辑 | Ieke Moerdijk,Bertrand Toën |
| 视频video | http://file.papertrans.cn/868/867453/867453.mp4 |
| 概述 | The material is not available elsewhere, except in the original research articles.The material is presented by the best experts, in fact the inventors themselves.The exposition has maintained the dire |
| 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
| 图书封面 |  |
| 描述 | .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 operads. The theory of dendroidal sets is based on trees instead of linear orders and has many features analogous to the theory of simplicial sets, but it also reveals new phenomena. For example, dendroidal sets admit a closed symmetric monoidal structure related to the Boardman–Vogt tensor product of operads. The lecture notes start with the combinatorics of trees and culminate with a suitable model structure on the category of dendroidal sets. Important concepts are illustrated with pictures and examples..The lecture series by Toën presents derived algebraic geometry. While classical algebraic geometry studies functors from the category of commutative rings to the category of sets, derived algebraic geometry is concerned with functors from simplicial commutative rings (to allow derived tensor products) to simplicial sets (to allow derived quotients). The central objects are derived (higher) |
| 出版日期 | Textbook 2010 |
| 关键词 | Grad; Homotopy; algebraic geometry; commutative algebra; commutative ring; homotopy theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0052-5 |
| isbn_softcover | 978-3-0348-0051-8 |
| isbn_ebook | 978-3-0348-0052-5Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
| issn_series | 2297-0304 |
| copyright | Springer Basel AG 2010 |
|Archiver|手机版|小黑屋|
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