Timeline for Reference for "Gal represenations attached to CM eigenforms"
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 4, 2011 at 7:43 | vote | accept | unramified | ||
| Oct 4, 2011 at 3:04 | comment | added | Chandan Singh Dalawat | Serre was trying to understand Ramanujan's congruences for the $\tau$-function, such as $\tau(p)\equiv1+p^{11}\mod{691}$ for every prime $p$. He (and Swinnerton-Dyer) realised that there is a Galois representation $\rho_\tau$ attached to $\tau$ and that the congruences for $\tau$ can be understood in terms of properties of $\rho_\tau$. This led him to conjecture that there is a Galois representation attached to every cuspidal eigenform, which was proved by Deligne in his Bourbaki talk. | |
| Oct 4, 2011 at 2:35 | history | answered | Emerton | CC BY-SA 3.0 |