On quivers and tilting bundles on projective toric manifolds -- Alastair Craw

<p>Abstract: I will describe how certain collections of line bundles on a
projective toric manifold X can be used to construct X as a fine moduli
space of quiver representations.  If the line bundles form a full strong
exceptional collection, then the tautological bundle arising form the
moduli construction gives a presentation of the derived category of X.
This programme leads to new examples of such collections, and hence to new
examples where the derived category of a toric manifold is well
understood. This is joint work with Gregory G. Smith.