Timeline for Using algebraic geometry to understand class field theory
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2021 at 0:07 | answer | added | user178833 | timeline score: 4 | |
| Apr 6, 2021 at 15:19 | answer | added | David E Speyer | timeline score: 13 | |
| Mar 28, 2021 at 13:44 | answer | added | Matt E | timeline score: 5 | |
| Mar 25, 2021 at 10:10 | vote | accept | Gabriel | ||
| Mar 25, 2021 at 4:41 | comment | added | user166831 | In context, Lang meant that there is an alternative geometric approach to abelian class field theory in the function field case, which is why he doesn't cover that case in his book. | |
| Mar 24, 2021 at 21:59 | comment | added | paul garrett | I'd suspect that Lang meant that a heuristic for the number field case "becomes obvious" after the (etale cohomology...!) of the function-field/geometric case is understood. Lang did use hyperbole now and then. :) | |
| Mar 24, 2021 at 10:01 | comment | added | Gabriel | @TimCampion, oddly enough, I think I have an interesting answer to your more general question. (I wrote about it in your post.) | |
| Mar 24, 2021 at 9:59 | comment | added | Gabriel | @Faris, I unfortunately don't know how to answer your question. | |
| Mar 24, 2021 at 6:13 | comment | added | Tim Campion | This is kind of what I had in mind when asking this question, which didn't really receive a definitive answer. | |
| Mar 24, 2021 at 6:04 | comment | added | Faris | I'm not sure I'm interpreting this correctly but the analogy seems questionable. Wouldn't it mean that Langlands for $\mathrm{GL}_2$ over $\mathbb{Q}$ becomes obvious once Langlands for $\mathrm{GL}_2$ over function fields is established? | |
| Mar 24, 2021 at 5:52 | answer | added | David Benjamin Lim | timeline score: 23 | |
| Mar 24, 2021 at 5:10 | history | became hot network question | |||
| Mar 23, 2021 at 21:28 | answer | added | David E Speyer | timeline score: 18 | |
| Mar 23, 2021 at 21:12 | answer | added | Michael Joyce | timeline score: 12 | |
| Mar 23, 2021 at 21:09 | history | asked | Gabriel | CC BY-SA 4.0 |