Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Seminar [1]

Organiser(s):

Reinier Kramer
Affiliation:

MPIM
Date:

Mon, 2020-07-06 16:00 - Sun, 2021-01-31 17:30 This reading group is aimed at understanding stacks in algebraic geometry, in particular the intersection theory on them as seen in e.g. Gromov-Witten theory.

The first few session will recall basic category theory and scheme theory. After this, we will get into defining stacks, using Vistoli's Notes on Grothendieck topologies, fibered categories and descent theory [4] as a source. From there, we will introduce Deligne-Mumford stacks - using the moduli stacks of curves as an example - , their Chow groups, and virtual fundamental classes.

https://bbb.mpim-bonn.mpg.de/b/rei-xh2-kg6 [5]

Organiser: Reinier Kramer

Please send an email to rkramer@mpim... to get on the mailing list

(and in particular for the password for the sessions).

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/41

[2] http://www.mpim-bonn.mpg.de/node/10395/program?page=last

[3] http://www.mpim-bonn.mpg.de/node/10395/abstracts

[4] http://homepage.sns.it/vistoli/descent.pdf

[5] https://bbb.mpim-bonn.mpg.de/b/rei-xh2-kg6