Complete invariants of t-structures

A t-structure is a kind of truncation on a triangulated category that is analogous to the Postnikov approximation in homotopy theory. Using the thick subcategory theorem of Hopkins and Smith, work of Bousfield gives a classification of these truncations in the category of finite p-torsion topological spaces. After a gentle introduction, we will look at the analogous situation in the derived category of a commutative Noetherian ring D(R) and construct complete invariants of t-structures on a subcategory of D(R). Together with work of Deligne and Bezrukavnikov, this allows a classification of these t-structures when R has a dualizing complex.