Timeline for "Understanding" $\mathrm{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Dec 1, 2014 at 3:41 | history | edited | Peter Humphries | CC BY-SA 3.0 |
Fixed LaTeX
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| Dec 15, 2010 at 9:45 | comment | added | Dr Shello | What is the most current status on the 2-, 3- and 5-cycle relations? | |
| Nov 25, 2009 at 0:19 | comment | added | AFK | The 2, 3 and 5-cycle relations of GT translate the action on the moduli space curbes of genus 0 with n marked points. I don't think it was seriously conjectured that these generate all the relations. Grothendieck's original conjecture is that you have to consider all the M_{g,n} for 3g-3+n < 3 to get a full set of relations. Lochack, Nakamura and Schneps have defined a subgroup of GT (containing G_Q) that acts on the fundamental groups of all the M_{g,n}'s. It is probably strictly smaller than GT but that hasn't been proved. | |
| Nov 1, 2009 at 18:44 | vote | accept | Jonah Sinick | ||
| Nov 1, 2009 at 18:44 | history | bounty ended | Jonah Sinick | ||
| Oct 31, 2009 at 14:15 | history | answered | Tyler Lawson | CC BY-SA 2.5 |