this could be completely the wrong idea, but...
baez has been telling me about the idea of taking the "grothendieck lambda ring" of an algebraico-geometric theory, and then interpreting its "adams operations" as some sort of action of the absolute abelian galois group (or something like that). and i'm wondering now whether in the case where the algebraico-geometric theory is something like the modules of a number ring (or maybe the coherent sheaves over the associated galois stack, or something like that ...???...), you get some hopefully semi-obvious action sort of embodying "artin reciprocity" ... ???or something like that...
hmm, so what _about_ the adams operations on the character ring of a finite group, and on the lambda ring of coherent sheafs over a galois stack?? _is_ this the right idea, or is there still some bad level slip here?? or something...
No comments:
Post a Comment