Tuesday, May 9, 14:00, 7.527

Jorge Vitoria (City U London)
Silting and cosilting classes in derived categories.

Abstract:
A class of modules over a ring is a tilting class if and only if it is the Ext-orthogonal class to a set of compact modules of bounded projective dimension. Cotilting classes, on the other hand, are precisely the resolving and definable subcategories of the module category whose Ext-orthogonal class has bounded injective dimension. Silting and cosilting complexes in the derived category of a ring generalise tilting and cotilting modules. In this talk we will discuss a generalisation of the characterisations above to this derived setting. This is joint work with Frederik Marks.