Graduate Algebraic Geometry Seminar
Tim Ryan
UIC
An introduction to stacks
Abstract: Assuming a working knowledge of category theory and scheme theory, we will introduce stacks.
First, we will motivate them from the perspective of moduli theory.
We will then see how they are a natural generalization of sheaves using the definition of a stack as a functor.
Following this, we will redefine stacks in the more standard way (as categories) and will proceed to define Deligne-Mumford and Artin stack.
Finally, we will conclude with a couple brief examples.
Wednesday December 2, 2015 at 3:00 PM in SEO 712