Group Actions: Equivariance and Functors

This lecture covers the concept of equivariance in group actions, focusing on the functorial perspective. It explains the trivial action functor, the functor of action on vector spaces, and the Yoneda lemma. The lecture demonstrates the equivariance of group actions and the classification of finite abelian groups. It concludes with a detailed proof of the classification of finite abelian groups, emphasizing the importance of equivariance in group theory.