I'm happy to announce the (virtual) Felix Klein lectures by Markus Reineke, from the University of Bochum. They are virtually in Bonn, part of the junior trimester program on representation theory which I'm part of.
Markus will talk about Quiver moduli and applications, here's his abstract:
Quiver moduli spaces are algebraic varieties encoding the continuous parameters of linear algebra type classification problems. In recent years their topological and geometric properties have been explored, and applications to, among others, Donaldson-Thomas and Gromov-Witten theory have emerged.
The first aim of the lectures is to motivate the study of quiver moduli spaces from the point of view of representation theory, to review their construction via Geometric Invariant Theory, and to discuss several classes of examples. We will proceed by reviewing results on the topology and geometry of these moduli spaces, in particular their cohomology.
Finally, we will discuss applications of quiver moduli spaces to Gromov-Witten and Donaldson-Thomas theory via wall-crossing.
The schedule and information on how to attend the lectures can be found on the website.