A study in derived algebraic geometry : Volume II: Deformations, lie theory and formal geometry

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mathematical surveys and monographs ; v. 221Publisher: Providence : American Mathematical Society, 2017Description: 1 Online-Ressource (474 pages)Subject(s): Additional physical formats: 1470435691 | 9781470435691 | 1470440873. | 9781470440879. | 1470435705. | 9781470435707. | Erscheint auch als: 9781470440879 Druck-AusgabeDDC classification:
  • 516.35
MSC: MSC: *14-02 | 14A20 | 14F05 | 18D05 | 18G55LOC classification:
  • QA564
Online resources: Summary: 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. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained. This volume consists oPPN: PPN: 1028255128Package identifier: Produktsigel: ZDB-4-NLEBK
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