https://stacky.net/wiki/api.php?action=feedcontributions&feedformat=atom&user=208.106.87.162 2026-06-01T14:38:18Z User contributions MediaWiki 1.40.1 https://stacky.net/wiki/index.php?title=Math_193a:_Algebraic_Stacks,_Fall_2011&diff=159 2011-07-20T01:46:26Z

<p>208.106.87.162: Created page with &quot;== 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...&quot;</p> <hr /> <div>== Course Description ==<br /> <br /> 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.<br /> <br /> Specific topics will be included based on feedback from students.<br /> <br /> == Resources ==<br /> <br /> [http://www.math.columbia.edu/algebraic_geometry/stacks-git/ The stacks project] by Johan de Jong et. al.&lt;br&gt;<br /> [http://books.google.com/books?id=75lgcAAACAAJ Algebraic spaces] by Donald Knutson&lt;br&gt;<br /> [http://books.google.com.pe/books?id=RZOe_4CnWqMC&amp;pg=PP1 Champs algébriques] by Gérard Laumon and Laurent Moret-Bailly&lt;br&gt;<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])&lt;br&gt;</div>

208.106.87.162