Simplicial Methods for Operads and Algebraic Geometry

by Ieke Moerdijk and Bertrand Toën

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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.

Format:Paperback

Language:English

ISBN:3034800517

ISBN13:9783034800518

Release Date:December 2010

Publisher:Birkhauser

Length:186 Pages

Weight:0.65 lbs.

Dimensions:0.5" x 6.6" x 9.6"

Related Subjects

Math Mathematics Science & Math

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Simplicial Methods for Operads and Algebraic Geometry

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