DATE: 4/7/2005 TIME: 12:10 pm in Weber 117 SPEAKER: Daniele Arcara (University of Utah) TITLE: Moduli Spaces in the Derived Category of K3 surface ABSTRACT: In the first part of the talk, we shall review moduli spaces of vector bundles on curves and surfaces, and give a quick introduction to derived categories. In the second part, after introducing Bridgeland's definition of stability for objects in the derived category, we shall start with a particular moduli space of bundles on a K3 surfarce, and perform Mukai flops to produce interesting moduli spaces of objects in the derived category. This is joint work with A. Bertram.