Timeline for What is the decomposition group at $p$ in the Galois group unramified outside $\ell?$
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| S Oct 21, 2014 at 12:02 | history | bounty ended | shenghao | ||
| S Oct 21, 2014 at 12:02 | history | notice removed | shenghao | ||
| Oct 21, 2014 at 12:02 | vote | accept | shenghao | ||
| Nov 14, 2014 at 14:20 | |||||
| Oct 20, 2014 at 12:41 | comment | added | Will Sawin | One approach would be to find many $n$-dimensional $\ell$-adic Galois representations which are unramified outside $\ell$, where the conjugacy class of $Frob_p$ varies. One can construct these Galois representations from automorphic forms of level a power of $\ell$, then one wants to show that the Forier coefficients vary. I'm not sure whether one can do this. | |
| Oct 20, 2014 at 12:15 | history | edited | shenghao | CC BY-SA 3.0 |
clarify ramification at infinity
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| Oct 20, 2014 at 12:12 | comment | added | shenghao | @Kestutis: thanks, I mean to allow ramification at $\infty,$ e.g. the abelianized Galois group is $\mathbb Z_{\ell}^{\times},$ instead of $\mathbb Z_{\ell}^{\times}/(\pm1).$ But if anyone can provide any info for the totally real case, I'm happy to learn that, too. | |
| Oct 18, 2014 at 17:00 | comment | added | Kestutis Cesnavicius | Could you clarify whether you allow ramification at $\infty$? I.e., is $K_l$ supposed to be totally real? | |
| S Oct 18, 2014 at 15:56 | history | bounty started | shenghao | ||
| S Oct 18, 2014 at 15:56 | history | notice added | shenghao | Draw attention | |
| Oct 16, 2014 at 15:18 | history | edited | shenghao | CC BY-SA 3.0 |
add a remark on passing to abelian quotient; rewording
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| Oct 16, 2014 at 15:12 | history | asked | shenghao | CC BY-SA 3.0 |