Felix Klein Lectures 2020: Quiver Moduli and Applications

Explore the fourth lecture in the Felix Klein Lectures 2020 series on quiver moduli and applications, delivered by Markus Reineke from Bochum. Delve into the world of quiver moduli spaces, algebraic varieties that encode continuous parameters of linear algebra type classification problems. Discover recent developments in their topological and geometric properties, and learn about their applications in Donaldson-Thomas and Gromov-Witten theory. Gain insights into the motivation behind studying quiver moduli spaces from a representation theory perspective, and understand their construction using Geometric Invariant Theory. Examine various examples of these spaces, and investigate their cohomology and other geometric properties. Conclude by exploring the applications of quiver moduli spaces to Gromov-Witten and Donaldson-Thomas theory through the lens of wall-crossing phenomena.