University of Toronto's Symplectic Geometry Seminar

November 14, 2005, 2:10pm
Bahen 6183

Nicholas Proudfoot

University of Texas at Austin

Quivers as presentations of projective varieties


Much of the data of an algebraic variety is encoded by its (derived) category of vector bundles, and I will explain how it is sometimes possible to 'present' this category as the (derived) category of representations of a quiver. In such a situation, it is natural to consider the moduli space of stable representations of the quiver, which depends sensitively on your notion of stability. I will discuss the relationship between this moduli space and the original variety.