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A Study in Derived Algebraic Geometry: Volumes I and II (Mathematical Surveys and Monographs) - Tapa blanda

Gaitsgory, Dennis; Rozenblyum, Nick

 
9781470453060: A Study in Derived Algebraic Geometry: Volumes I and II (Mathematical Surveys and Monographs)
Tapa blanda
ISBN 10: 1470453061 ISBN 13: 9781470453060
Editorial: American Mathematical Society, 2017

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Dennis Gaitsgory, Harvard University, Cambridge, MA.

Nick Rozenblyum, University of Chicago, Chicago, IL.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2017
Idioma
Inglés
ISBN 10 
1470453061
ISBN 13 
9781470453060
Encuadernación
Tapa blanda
Número de páginas
969
Contacto del fabricante
no disponible
Persona responsable
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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