In mathematics, the chromatic spectral sequence is a spectral sequence, introduced by Ravenel (1978), used for calculating the initial term of the Adams spectral sequence for Brown–Peterson cohomology, which is in turn used for calculating the stable homotopy groups of spheres.
See also Chromatic homotopy theory Adams-Novikov spectral sequence p-local spectrum
References Ravenel, Douglas C. (1978), "A novice's guide to the Adams–Novikov spectral sequence.", Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), II, Lecture Notes in Math., vol. 658, Berlin: Springer, pp. 404–475, doi:10.1007/BFb0068728, ISBN 978-3-540-08859-2, MR 0513586 Ravenel, Douglas C. (2003), Complex cobordism and stable homotopy groups of spheres (2nd ed.), AMS Chelsea, ISBN 978-0-8218-2967-7, MR 0860042