  Silting modules are abundant. Indeed, they parametrise the definable torsion
classes over a noetherian ring, and the hereditary torsion pairs of finite type
over a commutative ring. Also the universal localisations of a hereditary ring,
or of a finite dimensional algebra of finite representation type, can be
parametrised by silting modules. In these notes, we give a brief introduction
to the fairly recent concepts of silting and cosilting module, and we explain
the classification results mentioned above.
