Fibered categories, I

In this talk, I will first introduce the notions of fibered categories over a category, pseudo-functors over a category and then give a correspondence between "fibered categories over a category C" and pseudo-functors over C. I will then give examples of fibered categories, in particular, the example of fibered category of quasi-coherent sheaves on Sch/S. I will then talk about special type of fibered categories, namely categories fibered in groupoids and categories fibered in sets. This is based on sections 3.1-3.4 of Vistoli's notes.

https://bbb.mpim-bonn.mpg.de/b/rei-xh2-kg6 [3]
Organiser: Reinier Kramer
Please send an email to rkramer@mpim... for the password for the sessions.