In algebraic geometry, the cohomology of a stack is a generalization of étale cohomology.
In a sense, it is a theory that is coarser than the Chow group of a stack.
The cohomology of a quotient stack (e.g., classifying stack) can be thought of as an algebraic counterpart of equivariant cohomology.
For example, Borel's theorem states that the cohomology ring of a classifying stack is a polynomial ring.
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