Felix Klein Lectures 2020 - Quiver Moduli and Applications

Explore the fascinating world of quiver moduli spaces in this comprehensive lecture from the Felix Klein Lectures 2020 series. Delve into the construction of these algebraic varieties through Geometric Invariant Theory and examine their role in encoding continuous parameters of linear algebra type classification problems. Discover the recent developments in understanding the topological and geometric properties of quiver moduli spaces, with a focus on their cohomology. Learn about the emerging applications of these spaces in Donaldson-Thomas and Gromov-Witten theory, and gain insights into wall-crossing phenomena. This 75-minute lecture, delivered by Markus Reineke from Bochum, offers a deep dive into the motivations behind studying quiver moduli spaces from a representation theory perspective, providing a solid foundation for understanding their significance in modern mathematics.