  We give an overview of recent developments in silting theory. After an
introduction on torsion pairs in triangulated categories, we discuss and
compare different notions of silting and explain the interplay with
t-structures and co-t-structures. We then focus on silting and cosilting
objects in a triangulated category with coproducts and study the case of the
unbounded derived category of a ring. We close the survey with some
classification results over commutative noetherian rings and silting-discrete
algebras.
