Simplicial Methods for Operads and Algebraic Geometry (Record no. 111128)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03778nam a22004815i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-0348-0052-5 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220084518.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 101202s2010 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783034800525 |
| -- | 978-3-0348-0052-5 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-0348-0052-5 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA169 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBC |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBF |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT002010 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.6 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Moerdijk, Ieke. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Simplicial Methods for Operads and Algebraic Geometry |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Ieke Moerdijk, Bertrand Toën. |
| 264 #1 - | |
| -- | Basel : |
| -- | Springer Basel, |
| -- | 2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | X, 186p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Advanced Courses in Mathematics - CRM Barcelona |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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) stacks, which are functors satisfying a certain up-to-homotopy descent condition. These lectures provide a concise and focused introduction to this vast subject, glossing over many of the technicalities that make the subject’s research literature so overwhelming. Both sets of lectures assume a working knowledge of model categories in the sense of Quillen. For Toën’s lectures, some background in algebraic geometry is also necessary. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic topology. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Category Theory, Homological Algebra. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic Topology. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Toën, Bertrand. |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783034800518 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Advanced Courses in Mathematics - CRM Barcelona |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-0348-0052-5 |
| 912 ## - | |
| -- | ZDB-2-SMA |
No items available.