Algebraic groups

Term: 
Winter
Credits: 
3.0
Course Description: 

This is an introduction to linear algebraic groups, a subject on the interface of group theory, linear algebra and algebraic geometry.

Learning Outcomes: 

We cover the basic theory of linear algebraic groups over algebraically closed fields, including Jordan form and the Lie-Kolchin theorem, homogeneous spaces and quotient constructions, Borel subgroups, maximal tori and root systems. The necessary background in algebraic geometry will be developed from scratch along the way.

Assessment: 
  • regular homework, and presentation or final
Prerequisites: 

Topics in Algebra