Timeline for Local Galois representation associated to twist of modular form
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 30, 2017 at 12:53 | vote | accept | MathsStudent | ||
| May 30, 2017 at 9:57 | answer | added | Olivier | timeline score: 4 | |
| May 30, 2017 at 5:55 | comment | added | MathsStudent | Thanks but in case 1, the local Galois representation of $f$ at $\ell$ is not irreducible ("principal series") and for $f \otimes \chi$, the local Galois representation at $\ell$ is becoming irreducible ("supercuspidal") where as after twisting by $\chi$ the local Galois representation at $\ell$, I was thinking, should still be diagonal ("ramified principal series")? Sorry I am still confused. | |
| May 29, 2017 at 15:29 | comment | added | Olivier | The Galois representation attached to a twist of a modular form is the twist of the Galois representation (more generally, that is a big part of the internal compatibility required of the Global Langlands Correspondence). This answers all your questions and more. | |
| May 29, 2017 at 12:42 | history | edited | Myshkin | CC BY-SA 3.0 |
+ top level tag (nt.)
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| May 29, 2017 at 12:28 | review | First posts | |||
| May 29, 2017 at 12:42 | |||||
| May 29, 2017 at 12:22 | history | asked | MathsStudent | CC BY-SA 3.0 |