TY  - BOOK
AU  - Gaitsgory,Dennis
AU  - Rozenblyum,Nick
TI  - Study in derived algebraic geometry: volume I: correspondences and duality 
T2  - Mathematical surveys and monographs
SN  - 9781470435691 (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 1. Correspondences and duality
N2  - 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.
ER  -