Vasily Dolgushev, Temple University
This is a continuation of the series of talks on linear algebraic groups. I will recall the Jordan decomposition for endomorphisms of a finite dimensional vector space as well as its multiplicative version for the general linear group. Then I will extend the Jordan decomposition and its related notions to an arbitrary affine algebraic group. I will talk about consequences of the theorem about the Jordan decomposition for affine algebraic groups. If times permits, I will also talk about semi-invariants.