Derived categories of coherent sheaves

• Autores: Tom Bridgeland
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé , Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 2, 2006, ISBN 978-3-03719-022-7, págs. 563-582
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • 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.