Grothendieck spectral sequence

The Grothendieck spectral sequence is a powerful tool in algebraic geometry and homological algebra, providing a method for computing the derived functors of a functor that is defined in terms of a different functor. It is commonly used in the context of sheaf cohomology. The context in which the Grothendieck spectral sequence typically arises is in the cohomology of sheaves on a topological space (often a variety or scheme).