Resumen de Derived categories of coherent sheaves

Tom Bridgeland

• We discuss derived categories of coherent sheaves on algebraic varieties. We focus on the case of non-singular Calabi�Yau varieties and consider two unsolved problems: proving that birational varieties have equivalent derived categories, and computing the group of derived autoequivalences. We also introduce the space of stability conditions on a triangulated category and explain its relevance to these two problems.