2009-04-24

Richard Vale, Cornell University

A theorem of Domokos on quiver moduli

Abstract: A very recent theorem of M. Domokos (link) states that for a quiver Q, the following are equivalent:

1. For every stability condition theta and every dimension vector alpha, the moduli space M(alpha, theta) of theta-semistable representations of Q of dimension alpha is either empty or smooth.

2. The underlying graph of Q is Dynkin or extended Dynkin.

In this talk, I will explain what this statement means. Little or no prior knowledge of quivers will be required.