  In 1965 Buchberger defined Gr\"obner bases and an algorithm to compute them.
Despite a slow start, already in the eighties Gr\"obner bases had become the
main device for symbolic computations involving polynomials as well as a
theoretical tool for the investigation of ideals and varieties via the
so-called Gr\"obner deformation techniques. Rings and algebraic varieties
defined by means of determinants are among the most classical objects in
commutative algebra, algebraic geometry and invariant theory. By the end of the
the eighties the time was ripe for the computation of Gr\"obner bases of
determinantal ideals. We will tell the tale of how (universal) Gr\"obner bases
of determinantal ideals were identified and the key role played by Bernd
Sturmfels and his collaborators in this enterprise.
