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Timeline for Companion forms

Current License: CC BY-SA 3.0

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May 21, 2011 at 19:40 comment added Kevin Buzzard @Felipe: Wiese starts with weight 1 forms---I think he's going the other way.
May 21, 2011 at 11:16 comment added Felipe Voloch @Kevin: Wiese's paper quoted in my answer gets weight one forms, but I can't tell just by glancing at it whether some additional assumptions is still needed.
May 21, 2011 at 8:10 comment added Kevin Buzzard Yeah---the sticky issue is going from weight $p$ to weight 1---both in the classical and the Hilbert case. If $\rho$ is unramified at $p$ and the eigenvalues are distinct then one can build two weight $p$ forms and then, I think, a weight 1 form, using tricks. But if the eigenvalues are the same then I think the existence of the weight 1 form is still open. K-W/Gee are always working in weight $k\geq2$.
May 20, 2011 at 23:57 history answered A. Pacetti CC BY-SA 3.0