Xiaoyu Huang, Temple University
This is a continuation of the series of meetings about linear algebraic groups. We will discuss the definition and basic properties of Cartan subgroups. Along the way, we will further explore the importance of Borel subgroups in the proofs of these results. After quickly introducing the definition of Weyl groups, we will define reductive groups and explore the first layer of its properties. The main references are Borel’s book "Linear Algebraic Groups" and Florian Herzig’s lecture notes of the same title.