[en] This paper discusses the possibility that a way may be found to describe gravitation, together with suitable matter fields, by an ordinary renormalizable quantum field theory. However, it is chiefly concerned with another possibility, that a quantum field theory which incorporates gravitation may satisfy a generalized version of the condition of renormalizability known as asymptotic safety. The subject is discussed under the headings: renormalizable theories of gravitation; asymptotic safety; physics at ordinary energies; dimensional continuation; gravity in 2 + epsilon dimensions. (U.K.)