TY  - BOOK
AU  - Gaitsgory,Dennis
AU  - Rozenblyum,Nick
TI  - Study in derived algebraic geometry: volume II: deformations Lie theory and formal geometry 
T2  - Mathematical surveys and monographs
SN  - 9781470435707 (alk. paper)
U1  - 510MS 23
PY  - 2017///
CY  - Providence : 
PB  - American Mathematical Society, 
KW  - Algebraic geometry
KW  - Duality theory (Mathematics)
KW  - Lie algebras
KW  - Geometry
N1  - Includes bibliographical references and index; volume 2. Deformations, Lie theory, and formal geometry
N2  - 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.
ER  -