# MATH560, Fall 2006

## Coxeter Groups and root systems

This course is devoted to one of the most remarkable objects in mathematics -- so called
Coxeter groups and root systems.

They appear unexpectedly in many very distant domains and are related to very important
question of Lie groups, dynamical systems, invariant theory, singularity theory, mathematical
physics and many other domain of modern mathematics.

On the same time these notions admit an elementary approach which requires only basic
knowledge in finite group theory, euclidean geometry and combinatorics.

I hope that students, besides the beautiful facts about Coxeter groups and root systems,
will learn some new
results and produce their own projects.

Details will appear later on my home page.

Organizational meeting: Tu Sept. 14, 12:00-1:30PM DRLB 3C6

Back to Alexandre Kirillov's home page