Smashing subcategories generated by partial silting objects

Silting objects in triangulated categories were introduced by Aihara-Iyama to complete
tilting theory from the viewpoint of mutation. For this purpose, silting objects
are usually asked to be compact. In recent years, several authors started studying also large
silting objects showing that such objects are useful to parametrise certain torsion pairs.

In this talk, we will focus on partial silting objects in any triangulated category with coproducts and study the torsion pairs associated with them. Moreover, we will show that in many reasonably nice triangulated categories every compactly generated smashing subcategory is generated by such a partial silting object.

This talk is based on ongoing joint work with Lidia Angeleri Hügel and Jorge Vitória.