PhD course: Algebraic stacks

Algebraic stacks is the natural language of moduli theory. Whenever parametrizing algebraic objects with automorphisms, stacks are necessary for a full and well-behaved description. From another perspective, stacks arise when we consider quotients of groups acting on schemes. In this course, I'll give an introduction to stacks and highlight some topics.

Prerequisities is some algebraic geometry and commutative algebra. You should for example have a good understanding of a what a scheme is, of quasi-coherent sheaves, flat, smooth and étale morphisms and some cohomology theory.

Note that the weekday and time is subject to change in the future. Except for the first lecture and when there's the SMC colloquium or other conflicts, we'll probably do Wednesdays 15–17. It is also possible to follow the lectures via Zoom.

See the course webpage  for more information.

If you want to follow the course, please fill out this form  if you haven't already done so. In particular, if you cannot attend the first lecture.