Lifting and restricting t-structures

We explore the interplay of t-structures in the bounded derived category
of finitely generated modules and the unbounded derived category of all
modules over a noetherian ring A. More precisely, we show that every
intermediate t-structure in D^b(A) lifts to a compactly generated
t-structure in D(A), by closing the respective classes under directed
homotopy colimits. Conversely, we provide necessary and sufficient
conditions for a compactly generated t-structure in D(A) to restrict to
an intermediate t-structure in D^b(A). Finally, we consider the special
case of HRS-t-structures and discuss applications to silting theory.
This talk is based on joint work with Alexandra Zvonareva.