Linear algebraic groups

Summary

The aim of the course is to give an introduction to linear algebraic groups over algebraically closed fields and to give an insight into a beautiful subject that combines algebraic geometry with group theory.

Content

Keywords

algebraic groups, group actions on algebraic varieties, Lie algebra, algebraic geometry

Learning Prerequisites

Required courses

At least one introductory algebraic geometry course, group theory

Recommended courses

Background in group theory, Lie theory and some algebraic geometry

Learning Outcomes

By the end of the course, the student must be able to:

• State the most important notions and results
• Construct examples
• Prove basic theoretical results
• Compute basic invariants associated with algebraic groups

Teaching methods

Lectures and exercises

Assessment methods

Oral

Supervision

Resources

Bibliography

Linear Algebraic Groups, J. Humphreys, Springer

Linear algebraic groups and finite groups of Lie type, G. Malle and D. Testerman, CUP

Moodle Link

• https://go.epfl.ch/MATH-479