Timeline for Most intricate and most beautiful structures in mathematics
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Aug 1, 2018 at 2:03 | comment | added | Alec Rhea | How about the absolute Galois group of the field of fractions of the Grothendieck ring of the ordinals? :) | |
| Mar 26, 2011 at 13:11 | comment | added | Simon Lyons | Maud: "Fearless Symmetry" by Ash and Gross is a non-technical introduction to the subject. | |
| Dec 19, 2010 at 23:39 | comment | added | Lennart Meier | I'm no expert, but I think a good place to start is almost any book on algebraic number theory/class field theory eg. Algebraic Number Theory by Cassels and Fröhlich. It should be noted that such texts mainly consider the abelianizations of absolute Galois groups, which are, while difficult enough, of course much simpler than the full story. | |
| Dec 19, 2010 at 6:32 | comment | added | muad | I would like to know what can I read to get an appreciation for this absolute galois group? | |
| Dec 18, 2010 at 7:18 | history | edited | Emerton | CC BY-SA 2.5 |
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| Dec 14, 2010 at 6:15 | comment | added | Chandan Singh Dalawat | How about the equally conjectural Langlands group ? But frankly, these are all "derived" from the monoid $\mathbf N$ by some "constructions". | |
| Dec 13, 2010 at 23:56 | comment | added | AFK | +1. And if that's not intricate enough you can upgrade to the conjectural motivic Galois group; the absolute Galois group being the quotient corresponding to varieties of dimension 0. | |
| Dec 13, 2010 at 23:03 | history | answered | Lennart Meier | CC BY-SA 2.5 |