Xiaofa Chen (Paris IMJ), Derived equivalences and liftable functors.

Abstract:

It is a well-known open question whether a triangle equivalence between derived categories of finite-dimensional algebras is necessarily standard, namely isomorphic to a derived tensor functor by a two-sided tilting complex. In this talk, we propose to attack this problem from the viewpoint of dg category theory. We give a proof of the following folklore result: when a finite-dimensional algebra