Quivers and their representations: An introduction by Ajay Ramadoss 

Quivers and their representations play an important role
in several areas of mathematics and mathematical physics. The purpose of this talk is to give the audience an introduction to quivers, some algebras associated with them and their representations.
Among other things, we hope to state (and time permitting,
broadly sketch the proof of) Gabriel's theorem classifying Quivers
of finite type.
Reference: P. Etingof and others
Introduction to representation theory,
math.mit.edu/~e...