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A Study in Derived Algebraic Geometry - Volumes I and II (Paperback)
Loot Price: R3,279
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A Study in Derived Algebraic Geometry - Volumes I and II (Paperback)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 17 working days
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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 two-volume 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. Volume II develops deformation theory, Lie theory and the
theory of algebroids in the context of derived algebraic geometry.
To that end, it introduces the notion of inf-scheme, which is an
infinitesimal deformation of a scheme and studies ind-coherent
sheaves on inf-schemes. As an application of the general theory,
the six-functor formalism for D-modules in derived geometry is
obtained.
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