Tuesday, May 9, 14:00, 7.527
Jorge Vitoria (City U London)
Silting and cosilting classes in derived
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.