Timeline for Tips on cohomology for number theory
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 13, 2021 at 16:47 | history | edited | Stefan Kohl♦ | CC BY-SA 4.0 |
edited tags; edited title
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| Sep 13, 2021 at 16:47 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| May 9, 2010 at 15:11 | comment | added | David Corwin | See mathoverflow.net/questions/10879/intuition-for-group-cohomology for a discussion of a very similar question. | |
| Apr 15, 2010 at 19:01 | vote | accept | fellow | ||
| Jan 29, 2010 at 23:28 | answer | added | Cam McLeman | timeline score: 10 | |
| Dec 13, 2009 at 0:55 | answer | added | Obi Rej | timeline score: 3 | |
| Dec 12, 2009 at 3:14 | answer | added | JSE | timeline score: 18 | |
| Dec 12, 2009 at 2:51 | answer | added | JS Milne | timeline score: 19 | |
| Dec 12, 2009 at 0:30 | comment | added | Harry Gindi | But cocycles are so neat! | |
| Dec 12, 2009 at 0:18 | answer | added | Ben Webster♦ | timeline score: 7 | |
| Dec 12, 2009 at 0:00 | comment | added | some guy on the street | I just make it up as I go along everytime... | |
| Dec 11, 2009 at 23:17 | comment | added | Evgeny Shinder | At some point you can make friends with etale cohomology, which is the basic cohomology theory in arithmetic geometry. Etale cohomology provides a bridge between Galois cohomology in number theory and singular cohomology in differential geometry. This means that on one hand etale cohomology over complex numbers coincides with singular cohomology. On the other hand Galois cohomology of Gal(F) is etale cohomology of a "single point" Spec(F). | |
| Dec 11, 2009 at 22:01 | comment | added | Georges Elencwajg | "fairy tale","extremely happy with the central simple algebra approach","adapt and love","making friends with a 2-cocycle". It is really wonderful to see you relate to mathematics with such passion: +1 and all my best wishes to this enthusiastic fellow. | |
| Dec 11, 2009 at 21:50 | comment | added | Leonid Positselski | I think that the use of profinite group cohomology in class field theory is not the best place to start learning cohomology, as it is very specialized and complicated. I would start with algebraic and differential topology and then go to abstract algebra: Lie algebra cohomology, group cohomology, derived functors, spectral sequences, Ext and Tor, etc. This would allow you to "adapt to and love" things cohomological, and know them when you see them. | |
| Dec 11, 2009 at 21:28 | comment | added | Konrad Voelkel | Probably a candidate for community wiki. My 2 cents: I was very happy to learn about derived functors, they made the cohomological stuff "feel right". | |
| Dec 11, 2009 at 20:12 | history | asked | fellow | CC BY-SA 2.5 |