Lie algebras and Lie groups are important in many areas of mathematics as well as theoretical physics. The course gives an introduction to the topic focusing on: Lie groups and their associated Lie algebra, exponential map, examples; abstract Lie algebras: ideals, solvable and nilpotent Lie algebras; and semi-simple Lie algebras: structure theory, root systems.

# Course MAT455

## Advanced Topics in Geometry - Lie Theory

Classes meet Wednesday and Friday.

Weekly problem sets will account for 50% of the course grade.

Take Home Final Exam - 50%

Problem set(s) - 50%