Affine Geometric Invariant Theory

I gave this talk on the 31st of October of 2024 for the study group on Geometric Invariant Theory organised by Marc Truter.

The goal of the study group was to understand the basics of Geometric Invariant Theory following these notes written by Victoria Hoskins. In this talk, I explained what a reductive group $G$ was, and how to construct the GIT quotient of an affine variety by the action of $G$. These are the notes I wrote: