Название: A Study in Derived Algebraic Geometry, Volumes I: Correspondences and Duality
Автор: Dennis Gaitsgory, Nick Rozenblyum
Издательство: merican Mathematical Society
Год: 2017
ISBN: 9781470435684
Серия: Mathematical Surveys and Monographs (Book 221)
Формат: pdf
Страниц: 969
Размер: 11,6 mb
Язык: 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.