It takes the average reader 7 hours and 26 minutes to read A Study in Derived Algebraic Geometry by Dennis Gaitsgory
Assuming a reading speed of 250 words per minute. Learn more
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume 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 such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained. This volume consists of two parts. The first part introduces the notion of ind-scheme and extends the theory of ind-coherent sheaves to inf-schemes, obtaining the theory of D-modules as an application. The second part establishes the equivalence between formal Lie group(oids) and Lie algebr(oids) in the category of ind-coherent sheaves. This equivalence gives a vast generalization of the equivalence between Lie algebras and formal moduli problems. This theory is applied to study natural filtrations in formal derived geometry generalizing the Hodge filtration.
A Study in Derived Algebraic Geometry by Dennis Gaitsgory is 436 pages long, and a total of 111,616 words.
This makes it 147% the length of the average book. It also has 136% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 10 hours and 9 minutes to read A Study in Derived Algebraic Geometry aloud.
A Study in Derived Algebraic Geometry is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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