Timeline for Galois representations attached to Maass form
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 29, 2018 at 21:22 | vote | accept | Dror Speiser | ||
| Mar 7, 2012 at 11:40 | comment | added | Jose Arnaldo Bebita | Kevin's answer to this MO question: <mathoverflow.net/questions/15370/…> might be of some interest. | |
| Mar 1, 2012 at 17:11 | comment | added | GH from MO | @Dror: Also, just to say what is probably obvious to you: most Maass forms are expected to have little to do with algebra (algebraic number theory, algebraic geometry). I think by a counting argument one can show that most Maass forms are not associated with Galois representations (e.g. the Maass forms constructed by Maass have zero density). | |
| Mar 1, 2012 at 15:02 | comment | added | GH from MO | @Dror: OK, I see now. At any rate, even 2-dimensional complex Galois representations are expected to correspond to weight zero Hecke-Maass forms of Laplacian eigenvalue 1/4. Note that you can regard any complex Galois representation as an $\ell$-adic one. | |
| Mar 1, 2012 at 10:00 | comment | added | Dror Speiser | @GH: I didn't know that it is expected that Maass forms are attached to galois representations over $\mathbb{C}$. Over $\mathbb{Q}_\ell$ you can have infinite image. | |
| Mar 1, 2012 at 9:06 | comment | added | GH from MO | @Dror: I am a bit confused when you say "irreducible Galois representation of infinite image". Usually one assumes that a Galois representation is continuous, hence it factors through a finite extension of the base field, hence it has finite image. | |
| Feb 29, 2012 at 14:28 | answer | added | Joël | timeline score: 19 | |
| Feb 29, 2012 at 12:48 | comment | added | Chandan Singh Dalawat | Henniart (Guy), Formes de Maass et représentations galoisiennes. Séminaire Bourbaki, 31 (1988-1989), Exposé No. 711, 26 p. (numdam.org/numdam-bin/fitem?id=SB_1988-1989__31__277_0). $$ $$ Henniart (Guy), Erratum à l'exposé n°711 : «Formes de Maass et représentations galoisiennes». Séminaire Bourbaki, 33 (1990-1991), Art. No. 16, 2 p. (numdam.org/numdam-bin/fitem?id=SB_1990-1991__33__485_0). | |
| Feb 29, 2012 at 12:33 | history | edited | Dror Speiser | CC BY-SA 3.0 |
Weight correction
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| Feb 29, 2012 at 12:10 | comment | added | GH from MO | The Maass forms associated to Hecke characters of real quadratic fields have weight zero (not one). | |
| Feb 29, 2012 at 11:27 | history | asked | Dror Speiser | CC BY-SA 3.0 |