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Oct 11, 2012 at 14:32 comment added Chandan Singh Dalawat For the record, the case $p=5$ is treated in arxiv.org/abs/0906.4374, and the case $p=7$ in arxiv.org/abs/1005.4209 (as I learnt from this answer by Kevin Ventullo: mathoverflow.net/questions/109298/…).
Oct 18, 2011 at 7:11 history edited Chandan Singh Dalawat CC BY-SA 3.0
edited body
Oct 18, 2011 at 6:59 history edited Chandan Singh Dalawat CC BY-SA 3.0
Dembele ---> Dembélé
Oct 18, 2011 at 6:58 comment added François Brunault The case $p=3$ seems also to be done in warwick.ac.uk/staff/L.Dembele/papers/nonsolvabe-dgv-033110.pdf
Oct 18, 2011 at 6:57 vote accept Chandan Singh Dalawat
Oct 18, 2011 at 6:56 comment added Chandan Singh Dalawat Many thanks. The paper in question is warwick.ac.uk/staff/L.Dembele/papers/nonsolvable.pdf, with and appendix warwick.ac.uk/staff/L.Dembele/papers/serre_complement.pdf by Serre.
Oct 18, 2011 at 6:54 comment added Kevin Buzzard So it is "recent progress in the Langlands programme" in the following sense. The key theoretical result is Carayol's theorem from 1986 beefed up by Blasius-Rogawski and Taylor in 1991 or so, attaching Galois representations to Hilbert modular forms. The recent progress is in our ability to compute examples of such things on a computer.
Oct 18, 2011 at 6:53 history edited Kevin Buzzard CC BY-SA 3.0
typo
Oct 18, 2011 at 6:45 history answered Kevin Buzzard CC BY-SA 3.0