Algebraic StacksAn introductory course in the theory of Descent, Algebraic Spaces and Algebraic Stacks.
https://dkrashen.github.io/stacks/
Mon, 10 Sep 2018 19:55:17 +0000Mon, 10 Sep 2018 19:55:17 +0000Jekyll v3.7.4Video: the isom presheaf<p>I’ve put a video on YouTube to go over the presentation of the isom presheaf, and how to think of it as a fibered category which happens to be equivalent to a category fibered in sets (and hence a presheaf).</p>
<p><a href="http://youtu.be/Z6rnOZHYyUo?list=PLwRA8zj9nt3i2kRfSUmLkPT8z5qxqHw-W">Video: The Isom Presheaf</a></p>
<p><a href="http://www.youtube.com/playlist?list=PLwRA8zj9nt3i2kRfSUmLkPT8z5qxqHw-W">Our stacks playlist on YouTube</a></p>
Thu, 18 Sep 2014 00:00:00 +0000
https://dkrashen.github.io/stacks/announcements/2014/09/18/isom-presheaf/
https://dkrashen.github.io/stacks/announcements/2014/09/18/isom-presheaf/announcementsThe issue-tracker system<p>If you haven’t already taken advantage of it, please take a look at <a href="https://github.com/dkrashen/stacks-issues">the
class’s issue-tracker system</a>. We will be using this space to
communicate with each other about any confusing issues which come up while
reading as well as to keep track of any typographical errors
in this prelinary draft of <a href="http://math.berkeley.edu/~molsson/">Martin Olsson’s</a> textbook.</p>
Fri, 05 Sep 2014 00:00:00 +0000
https://dkrashen.github.io/stacks/announcements/2014/09/05/issue-tracker/
https://dkrashen.github.io/stacks/announcements/2014/09/05/issue-tracker/announcementsLecture Notes etc.<p>the lecture notes are up and running! you can get them from the lecture tab
above.</p>
<p>next time we’ll be focusing on properties of morphisms of schemes (finite
presentation, étale, smooth) in order to introduce, among other things,
important Grothendieck topologies (to be defined later).</p>
Fri, 08 Aug 2014 10:52:10 +0000
https://dkrashen.github.io/stacks/announcements/2014/08/08/notes-etc/
https://dkrashen.github.io/stacks/announcements/2014/08/08/notes-etc/announcementsClass Resources<p>Welcome to our course on the theory of Algebraic Stacks. Our primary source
material will be the book in progress of <a href="http://math.berkeley.edu/~molsson/">Martin Olsson</a>.</p>
<p>Besides this text, there is a variety of other source material which we may
refer to, and which might be useful to look into, including :</p>
<ul>
<li>the article <em>“<a href="http://www.ams.org/mathscinet-getitem?mr=262240">the irreducibility of the space of curves of a given
genus</a>”</em> of <a href="https://www.math.ias.edu/people/faculty/deligne">Pierre Deligne</a> and <a href="http://www.dam.brown.edu/people/mumford/">David Mumford</a></li>
<li>the <a href="http://stacks.math.columbia.edu">Stacks Project</a>,</li>
<li><a href="http://homepage.sns.it/vistoli/">Angelo Vistoli</a>’s <a href="http://arxiv.org/abs/math/0412512">notes</a> / <a href="http://www.ams.org/mathscinet-getitem?mr=2223406">book chapter</a> on descent and fibered categories,</li>
<li>Donald Knutson’s <a href="http://www.ams.org/mathscinet-getitem?mr=302647">book on Algebraic Spaces</a></li>
</ul>
Fri, 08 Aug 2014 10:52:10 +0000
https://dkrashen.github.io/stacks/announcements/2014/08/08/class-resources/
https://dkrashen.github.io/stacks/announcements/2014/08/08/class-resources/announcements