Math 193a: Algebraic Stacks, Fall 2011: Difference between revisions
(Created page with "== Course Description == Algebraic stacks arise naturally as solutions to classification (moduli) problems, so it is desirable to understand their geometry. In this course, we w...") |
|||
| Line 11: | Line 11: | ||
[http://books.google.com.pe/books?id=RZOe_4CnWqMC&pg=PP1 Champs algébriques] by Gérard Laumon and Laurent Moret-Bailly<br> | [http://books.google.com.pe/books?id=RZOe_4CnWqMC&pg=PP1 Champs algébriques] by Gérard Laumon and Laurent Moret-Bailly<br> | ||
[http://math.berkeley.edu/~anton/written/Stacks/Stacks.pdf my notes] from Martin Olsson's course at Berkeley (source available in an [svn://sheafy.net/courses/stacks_sp2007 svn repo])<br> | [http://math.berkeley.edu/~anton/written/Stacks/Stacks.pdf my notes] from Martin Olsson's course at Berkeley (source available in an [svn://sheafy.net/courses/stacks_sp2007 svn repo])<br> | ||
[http://stacky.net/posted/Artin%20-%20Algebraization%20of%20Formal%20Moduli%20I.djvu Algebraization of Formal Moduli I] by Michael Artin | |||
Revision as of 10:44, 25 August 2011
Course Description
Algebraic stacks arise naturally as solutions to classification (moduli) problems, so it is desirable to understand their geometry. In this course, we will assume a working knowledge of the geometry of schemes. We will extend the definitions and techniques used to study schemes to algebraic spaces and algebraic stacks. Topics will include Grothendieck topologies, descent, algebraic spaces, fibered categories, and algebraic stacks.
Specific topics will be included based on feedback from students.
Resources
The stacks project by Johan de Jong et. al.
Algebraic spaces by Donald Knutson
Champs algébriques by Gérard Laumon and Laurent Moret-Bailly
my notes from Martin Olsson's course at Berkeley (source available in an svn repo)
Algebraization of Formal Moduli I by Michael Artin