  We explain why the concept of a spontaneously broken superconformal symmetry
is useful to describe inflationary models favored by the Planck. Non-minimal
coupling of complex scalars to curvature, N(X, X*) R, is compulsory for
superconformal symmetry. Here N is the Kahler potential of the embedding moduli
space, including the inflaton and the conformon. It appears that such a
non-minimal coupling allows generic chaotic models of inflation to reach an
agreement with the observable (n_{s},r) values. We describe here the
superconformal versions of the cosmological attractors whose bosonic part was
presented in lectures of A. Linde in this volume. A distinguishing feature of
this class of models is that they tend to lead to very similar predictions
which are not very sensitive with respect to strong modifications of the
theory. The (super)conformal symmetry underlying (super)gravity allows a
universal description of a large class of models which agree with observations
and predict the tensor to scalar ratio 10^{-3} < r < 10^{-1}.
