In mathematics, in the field of homological algebra, the Grothendieck spectral sequence, introduced by Alexander Grothendieck in his Tôhoku paper, is a spectral sequence that computes the derived functors of the composition of two functors G ∘ F {\displaystyle G\circ F}, from knowledge of the derived functors of F {\displaystyle F} and G {\displaystyle G}. Wikipedia