A Study in Derived Algebraic Geometry – Volume I: Correspondences and Duality
A Study in Derived Algebraic GeometryVolume I: Correspondences and Duality\nAuthor(s): Dennis Gaitsgory, Nick Rozenblyum\nFormat: Paperback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9781470452841, 978-1470452841\nSynopsis\nDerived 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.\n\nThis volume consists of three parts and an appendix. The first part is a survey of homotopical algebra in the setting of ?-categories and the basics of derived algebraic geometry. The se.
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