Fredrik Marks: A finite type result for silting modules

abstract: Silting modules were recently introduced to study simultaneously (possibly large) tilting modules over any ring and support $\tau$-tilting modules over finite dimensional algebras. In this talk, we show that silting torsion classes can be classified by a finite type condition. Moreover, we discuss applications of this result in the context of localisation theory. It turns out that a key role is played by the morphism category which allows us to view silting modules as tilting objects. This is joint work with Jan Stovicek.