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Aaron Mazel-Gee
Aaron Mazel-Gee
4:36 AM
@DylanWilson okay that's great, thanks! i realized i'm actually interested in the values of the fiber sequence $E_{hC_p} \to E^{C_p} \to \Phi^{C_p} E$ for $E$ the suspension spectrum of a finite $C_p$-CW complex. what are my options for understanding/computing these, based on the cell structure?
@AndreaMarino that's great -- congratulations, and i'm glad the chatroom was helpful!
[going back to my question] i'm guessing the answer is just "tom dieck splitting"; i'd also like to know how this interacts with the other fiber sequence $E_{hC_p} \to E^{hC_p} \to E^{tC_p}$, but i don't know what can be said about that
 
 
2 hours later…
Denis Nardin
Denis Nardin
6:33 AM
@AndreaMarino Congratulations!
 
 
6 hours later…
Saal Hardali
Saal Hardali
1:00 PM
I don't know whether this helps you or not but the segal conjecture implies that for a CW complex
with a homotpy action of C_p you know that the suspension spectrum of the homotopy fixed points is the same as the tate of the suspension spectrum after p-completion.
It basically because in this case the geometric fixed points coincides with the tate.
 
 
6 hours later…
Saal Hardali
Saal Hardali
6:30 PM
*finite CW complex
 

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