A study in derived algebraic geometry

A study in derived algebraic geometry

by Gaitsgory, D., (Dennis)

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Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of ind-coherent sheaves in the context of derived algebraic geometry. Ind-coherent sheaves are a "renormalization" of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in…

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Title Statements

  • Full title :A study in derived algebraic geometry. / Dennis Gaitsgory, Nick Rozenblyum.

Summary

Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of ind-coherent sheaves in the context of derived algebraic geometry. Ind-coherent sheaves are a "renormalization" of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory. This volume consists of three parts and an appendix. The first part is a surv

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Edition Statements

  • Publication Date:2017.

Publication Statements

The Physical Object

  • Description:1 online resource (577 pages)

Edition Identifiers

  • ISBN:9781470440855, 1470440857
  • oclc:on1000452377
  • LC Classification:QA564
  • Dewey Decimal:516.35

Subjects

Algèbres de Lie Duality theory (Mathematics) Geometrie Géométrie algébrique geometry Geometry, Algebraic Lie algebras MATHEMATICS -- Geometry Principe de dualité (Mathématiques)

Writers

Gaitsgory, D., (Dennis) Rozenblyum, Nick

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  • A Study in Derived Algebraic Geometry, Volume I: …

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