group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
The theory of cohomological descent deals with the question if the derived analogue of the (co)monadic comparison functor is fully faithful (or more rarely an equivalence of categories) when formulated at the level of total derived functors and derived categories, and usually taken with respect to hypercovers.
The notion has been introduced in
A summary is also in
For a readable introduction see
Closely related is the monadic descent for Karoubian triangulated categories in the sense of pages 36–37 in
MathOverflow: Looking for reference talking about relationship between descent theory and cohomological descent
Last revised on July 24, 2024 at 16:23:27. See the history of this page for a list of all contributions to it.