Moduli spaces in the derived category of K3
surfaces -- Daniele Arcara

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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.