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Study in Derived Algebraic Geometry (Hardcover) (Dennis Gaitsgory & Nick Rozenblyum)

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Derived algebraic geometry is a generalization of algebraic geometry with applications in various parts of mathematics, say Gaitsgory and Rozenblyum, particularly in representation theory. They develop the theory of ind-coherent sheaves as renormalized 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. The first volume, on correspondences and duality, discusses such topics as some higher algebra, ind-coherent sheaves as a functor out of the category of correspondences, and the symmetric monoidal structure on the category of correspondences. The second volume, covers deformations, Lie theory, and formal geometry, from such perspectives as ind-schemes and inf-schemes, Lie algebras and co-commutative co-algebras, and infinitesimal differential geometry. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
Number of Pages: 1016
Genre: Mathematics
Series Title: Mathematical Surveys and Monographs
Format: Hardcover
Publisher: Amer Mathematical Society
Author: Dennis Gaitsgory & Nick Rozenblyum
Language: English
Street Date: July 3, 2017
TCIN: 53147659
UPC: 9781470435684
Item Number (DPCI): 248-55-7446
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