Timeline for Converse to Modularity I: weight 2 newforms
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 19, 2015 at 8:30 | vote | accept | Myshkin | ||
| Sep 19, 2015 at 8:29 | history | edited | Myshkin | CC BY-SA 3.0 |
questions separated
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| Sep 18, 2015 at 22:50 | history | edited | GH from MO | CC BY-SA 3.0 |
edited body
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| Sep 18, 2015 at 21:11 | history | edited | Myshkin | CC BY-SA 3.0 |
corrected after comments by Denis, GH and Olivier
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| Sep 18, 2015 at 20:03 | answer | added | Olivier | timeline score: 12 | |
| Sep 18, 2015 at 19:44 | comment | added | GH from MO | You mixed up Deligne-Serre and Weil-Langlands: Deligne-Serre associated to weight 1 newforms 2-dimensional odd Galois representations, and it follows from the work of Weil-Langlands (and also Hecke) that exactly those odd 2-dimensional Galois representations arise this way whose twists by 1-dimensional representations satisfy the Artin conjecture. | |
| Sep 18, 2015 at 18:11 | comment | added | Denis Chaperon de Lauzières | Weight 2 newforms that correspond to elliptic curves are exactly those that have integral coefficients. This follows from basic results of Shimura (and is much easier than the modularity of elliptic curves). | |
| Sep 18, 2015 at 17:48 | comment | added | Sylvain JULIEN | If your conjecture holds only up to isogeny, then it most likely relies on the deep properties of L-functions of rational elliptic curves. | |
| Sep 18, 2015 at 15:52 | history | asked | Myshkin | CC BY-SA 3.0 |