# 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