Ben Neifeld, Temple University
This is a continuation of the series of meetings on algebraic groups. We will study the conjugation action of closed subgroups $H$ of an affine algebraic group $G$ on $G$, as well as the associated action on the Lie algebra of $G$. For elements of $G$ that are semi-simple and normalize $H$, we will show that their conjugacy classes are closed. We will then discuss a connectedness result for the centralizers of unipotent subgroups and applications to diagonalizable groups.