Description

Book Synopsis
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry.

Table of Contents
  • Inf-schemes: Introduction
  • Deformation theory
  • Ind-schemes and inf-schemes
  • Ind-coherent sheaves on ind-inf-schemes
  • An application: Crystals
  • Formal geometry: Introduction
  • Formal moduli
  • Lie algebras and co-commutative co-algebras
  • Formal groups and Lie algebras
  • Lie algebroids
  • Infinitesimal differential geometry
  • Bibliography
  • Index of notations
  • Index.

    A Study in Derived Algebraic Geometry Volume II

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      A Paperback by Dennis Gaitsgory, Nick Rozenblyum

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 12/30/2020 12:00:00 AM
        ISBN13: 9781470452858, 978-1470452858
        ISBN10: 1470452855
        Also in:
        Algebraic geometry

        Description

        Book Synopsis
        Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry.

        Table of Contents
        • Inf-schemes: Introduction
        • Deformation theory
        • Ind-schemes and inf-schemes
        • Ind-coherent sheaves on ind-inf-schemes
        • An application: Crystals
        • Formal geometry: Introduction
        • Formal moduli
        • Lie algebras and co-commutative co-algebras
        • Formal groups and Lie algebras
        • Lie algebroids
        • Infinitesimal differential geometry
        • Bibliography
        • Index of notations
        • Index.

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