Reputation
1,378
Next privilege 2,000 Rep.
Edit questions and answers
Badges
1 9 19
Newest
 Enlightened
Impact
~9k people reached

Jan
11
comment What is, really, the stable homotopy category?
For the last question, see mathoverflow.net/questions/67227/…
Nov
20
comment Suspension of the third Hopf map
2-locally I think you can see this using the EHP sequence, as in mathoverflow.net/questions/50452/…
Nov
15
answered The cooperations algebras Johnson-Wilson theory and truncated BP-theory
Nov
3
comment Computing Homotopy Fixed Point Spectral Sequences related to Morava E thories
@MingcongZeng: This is Morava's change of rings theorem. Map $S$ to $L_{K(n)}S^0$, and look at the induced map. in $\mathrm{Ext}_{BP_*}$, and then use the change of rings theorem.
Nov
3
answered Computing Homotopy Fixed Point Spectral Sequences related to Morava E thories
Sep
17
awarded  Enlightened
Sep
16
awarded  Nice Answer
Sep
14
comment stable homotopy groups and zeta function
@KonradVoelkel - I've added what I believe to be the connection, hopefully it is correct!
Sep
14
revised stable homotopy groups and zeta function
added 423 characters in body
Sep
13
revised stable homotopy groups and zeta function
added 19 characters in body
Sep
13
answered stable homotopy groups and zeta function
Sep
13
comment stable homotopy groups and zeta function
Perhaps this is what you mean. Take $E = K(1)$, the first Morava $K$-theory. You can find the homotopy groups $\pi_*L_{K(1)}S^0$, at least when $p$ is odd, in, for example, Lurie's course notes (math.harvard.edu/~lurie/252xnotes/Lecture35.pdf). The order of the cyclic summand that appears can be expressed as the denominator of a certain expression involving Bernoulli numbers. This is related to the image of $J$, see en.wikipedia.org/wiki/J-homomorphism
Jul
28
awarded  Yearling
Jun
24
comment Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$
I've kept it open in the hope that someone comes along and tells me that the sketch I outlined in the question is correct! I'm still working through the answer you gave; it has quite a few references to sort through. There is a topological nature to the question, which unfortunately I cannot adequately describe in the comments.
Jun
20
comment Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$
Thanks for the answer!
Jun
17
comment Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$
@FernandoMuro: Yes, the sequence $x_0,\ldots,x_{n-1}$ is assumed to be regular
Jun
17
asked Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$
Jun
4
awarded  Enlightened
Jun
4
awarded  Nice Answer
May
28
awarded  Good Answer