Timeline for Corollaries of the halo conjecture that do not involve the eigencurve
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jan 11, 2020 at 15:58 | comment | added | jfb | The theorem of Buzzard & Kilford is one of the few known cases of the halo conjecture. So while I agree that the halo conjecture is not directly mentioned, it needn't be because the authors only need one specific case of the conjecture, the one proven by Bzuzard & Kilford, to pull off their argument. (I'll add that there is a lot of other mathematics in this paper, all very interesting. The automorphy is reduced to special cases using the halo structure, but those special cases are themselves a big thing.) | |
| Jan 11, 2020 at 2:50 | review | First posts | |||
| Jan 11, 2020 at 5:18 | |||||
| Jan 11, 2020 at 0:32 | comment | added | user145520 | to be more precise: the halo conjecture is not directly mentioned in the paper. A description of the eigencurve in some specific case by Buzzard and Kilford is mentioned but that is too specific in my view. | |
| Jan 10, 2020 at 22:09 | comment | added | user145520 | how is the halo conjecture relevant to the arguments described in the paper? Would the theorem be easier (or harder) to prove if it were true? | |
| Jan 10, 2020 at 17:50 | history | answered | jfb | CC BY-SA 4.0 |