  Arguably, the first bridge between vast, ancient, but disjoint domains of
mathematical knowledge, - topology and number theory, - was built only during
the last fifty years. This bridge is the theory of spectra in the stable
homotopy theory. This connection poses the challenge: discover a new
information in number theory using the developed independently machinery of
homotopy theory. In this combined research/survey paper we suggest to apply
homotopy spectra to the problem of distribution of rational points upon
algebraic manifolds.
