Timeline for Why the stable module category?
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| May 2, 2023 at 20:51 | comment | added | Tim Campion | Thanks! I guess I can get on board with the perspective that "a place where Tate cohomology arises naturally sounds pretty interesting". I don't understand your discussion of the Adams spectral sequence. In which category do the decompositions $M \otimes N = L \oplus F$ live? Does it matter? Do they decompose in the stable module category but not in the derived category? Your last paragraph is kind of a discussion of how Tate cohomology fits into a bigger picture -- are you saying that this sheds some light on how the stable module category fits into a bigger picture too? | |
| May 1, 2023 at 10:14 | history | answered | Neil Strickland | CC BY-SA 4.0 |