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Postdoc at MPIM, Bonn


Sep
30
awarded  Explainer
Sep
24
awarded  Autobiographer
Sep
9
asked Morava modules and completed $E$-homology
Aug
29
comment Adams e-invariant
Another nice paper is by Behrens and Laures: arxiv.org/pdf/0809.1125v2.pdf
Aug
19
answered How nilpotent is the ring of stable homotopy groups of spheres?
Jul
31
awarded  Enlightened
Jul
31
awarded  Nice Answer
Jul
28
awarded  Yearling
Jul
27
comment $K$-homology of $BG$
Interesting! Apologies for the misinformation @KHBG
Jul
26
comment $K$-homology of $BG$
I believe not. By the Joachim and Lück paper the $n$-th local cohomology groups can identified with a colimit of $\text{Ext}^n$'s
Jul
25
revised $K$-homology of $BG$
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25
revised $K$-homology of $BG$
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Jul
25
comment $K$-homology of $BG$
The $K$-homology groups are two-periodic. I think Greenlees' formula only holds for $i=0,1$, but then you can just use the periodicity. I'll edit the answer.
Jul
25
revised $K$-homology of $BG$
Spelling, grammar
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25
revised $K$-homology of $BG$
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25
revised $K$-homology of $BG$
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25
revised $K$-homology of $BG$
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Jul
25
suggested approved edit on $K$-homology of $BG$
Jul
25
answered $K$-homology of $BG$
Jul
23
comment Detection of stable homotopy by K-theory spectra
This reminds a bit of Dustin Clausen's paper arxiv.org/abs/1110.5851. In particular the real J-homomorphism can be interpreted as a map of spectra $K(\mathbb{R}) \to \text{Pic}(\text{Sp})$. The author then constructs a "p-adic" version of this. Theorem 0.1 of cited document talks abou the image in the E(1)-local sphere.