Mathematics 717 - Representation Theory

Representation theory studies the way groups, rings and other algebraic structures can act by linear symmetries. We will consider representations of finite groups, the general linear group, the symmetric group, and quiver algebras. If time permits, we cover the theory of Soergel bimodules and applications to knot homology. We will provide suggestions for further reading to explore the beyond the listed examples. Students will prepare a presentation on a topic related to class discussion. A list of topics will offered in class.

Open to Graduate students only.