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: A Study in Derived Algebraic Geometry, Volumes I: Correspondences and Duality
: Dennis Gaitsgory, Nick Rozenblyum
: merican Mathematical Society
: 2017
ISBN: 9781470435684
: Mathematical Surveys and Monographs (Book 221)
: pdf
: 969
: 11,6 mb
: English

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 monograph develops generalization of various topics in algebraic geometry in the context of derived algebraic geometry.

Volume I presents the theory of ind-coherent sheaves, which 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.












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