Generalized tilting theory
  We study necessary and sufficient conditions for a dg bimodule to yield triangle equivalences between (quotients of) the corresponding derived categories. This is related to recent work by Bazzoni-Mantese-Tonolo, Yang, Angeleri H\"ugel-Koenig-Liu, Chen-Xi, Bazzoni-Pavarin,... on large tilting modules, homological epimorphisms and recollements. 
Pedro Nicolas and Manuel Saorin
math.RT math.KT