Study in derived algebraic geometry : volume II: deformations Lie theory and formal geometry / Dennis Gaitsgory and Nick Rozenblyum.
Material type:
TextSeries: Mathematical surveys and monographs ; v 221.Publication details: Providence : American Mathematical Society, 2017.Description: xxxv, 436 pages ; 26 cmISBN: - 9781470435707 (alk. paper)
- 510MS 23 Am512
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 510MS Am512 (Browse shelf(Opens below)) | Available | 138300 |
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Includes bibliographical references and index.
volume 2. Deformations, Lie theory, and formal geometry.
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.
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