Seminar

Derived categories of coherent sheaves

Prof. Dr. Liedtke, Prof. Dr. Viehmann, Prof. Dr. Rosenschon (LMU)

 

Time and place

Contents

Associated to an Abelian category, we its category of bounded complexes, which - after identifying homotopies and inverting quasi-isomorphisms - yields the derived category. The derived category is the perfect framework for cohomology, derived functors, spectral sequences, Grothendieck-Verdier duality,...
Being algebraic geometers, we consider for a scheme the derived category of coherent modules. At first sight, this may seem like a rather abstract and technical object. However, in recent years it became clear that it is a useful object to study, that it captures important information, that it is (despite its appearance) a rather geometrical object, and that it also provides a beautiful framework for many results and conjectures.

Literature

Detailed Program