Quiver Varieties

This course is an introduction to the study of quiver representations and the associated moduli problems. The first half of the course will be dedicated to a proof of Gabriel's theorem asserting that a connected quiver has a finite number of isomorphism classes of representations for every fixed dimension vector if and only if the underlying undirected graph is a simply laced Dynkin diagram.
After this, we will study the symplectic and (hyper)-Kahler approaches to studying moduli spaces of quiver representations.

Meeting place and time

Wednesday and Friday from 9-11 in Mathematikon Seminar room A.

Lecture notes

Students for the course will be writing lecture notes, the notes for the previous lectures can be found below.

Lecture 1, April 26, 2019
Lecture 2, May 2, 2019
Lecture 3 May 4, 2019
Lecture 4 May 9, 2019
Lecture 5 May 11, 2019
Lecture 6 May 16, 2019
Lecture 7 May 18, 2019
Lecture 8 May 23, 2019
Lecture 9 May 25, 2019
Lecture 10 June 12, 2019