Derived algebraic geometry

Author(s)
Lurie, Jacob, 1977-
Thumbnail
DownloadFull printable version (10.79Mb)
Other Contributors
Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Michael Hopkins.
Terms of use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582
Metadata
Show full item record
Abstract
The purpose of this document is to establish the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise criteria for the representability of a moduli functor by geometric objects of these types.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.
 
Includes bibliographical references (p. 191-193).
 
Date issued
2004
URI
http://hdl.handle.net/1721.1/30144
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
Collections