Mathematics

I will discuss how moduli spaces of Gieseker-semistable sheaves on certain projective varieties can be realized as quiver moduli spaces by using t-structures and exceptional collections in the derived category. This construction can be used to prove easily some of the geometric properties of the moduli space of sheaves, and to do some explicit computations. I will first give an introduction to all these notions to make the talk as self-contained as possible.