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Simplicial Methods for Operads and Algebraic Geometry (Advanced Courses in Mathematics - CRM Barcelona) by Ieke Moerdijk, Bertrand Toën (auth.) is a nonfiction available to read on EtoBox.

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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)

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

Author

Ieke Moerdijk, Bertrand Toën (auth.)

Publisher

Birkhäuser Basel

Published

2010

Language

EN

ISBN

9786613569417

Category

nonfiction

Subjects

Mathematics, Stem