Sean O'Donnell, Temple University
Continuing from last week's talk, we will start by covering some of the necessary pre-requisite algebraic geometry, primarily focusing on k-structures when the field k is not algebraically closed. We will define algebraic groups and their morphisms, sketch proofs for some basic results and review a couple of particularly important examples. We will then discuss actions of algebraic groups on varieties and go over a result analogous to Cayley's Theorem in group theory.