Group Actions on Varieties

This lecture covers the concept of group actions on varieties, defining morphisms that act on affine varieties. It explains the properties of group actions, such as compatibility with the group operation and the induced automorphism of the variety. The lecture also discusses orbits, stabilizers, and isotropy groups, highlighting their significance in the context of group actions on varieties. Additionally, it delves into the notion of normalizers and G-invariant morphisms, emphasizing their role in equivariant varieties.