Timeline for $\text{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$ as the fundamental group of $2,3,5,... \infty$?
Current License: CC BY-SA 3.0
5 events
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Nov 3, 2017 at 21:44 | vote | accept | Wenzhe | ||
Oct 26, 2017 at 12:05 | comment | added | Will Sawin | Like with most analogies, some features of the Galois group are clarified by this analogy, while others are obscured. This is a good way to explain why Galois representations are interesting and natural objects (for the same reason ODE's are interesting and natural, basically) and to describe the relation of the Galois groups to its inertia groups (they generate it, but other than that the structure is quite complicated) but it's not a very good way to understand technical issues like $p$-adic Hodge theory and the Fontaine-Mazur conjecture. | |
Oct 26, 2017 at 11:35 | history | edited | Daniel Loughran | CC BY-SA 3.0 |
added 146 characters in body
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Oct 26, 2017 at 11:05 | history | edited | Daniel Loughran | CC BY-SA 3.0 |
added 94 characters in body
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Oct 26, 2017 at 10:59 | history | answered | Daniel Loughran | CC BY-SA 3.0 |