Tuesday, August 07, 2007

Progress?

I just need some place
where I can lay my head


"The Weight"
J. R. Robertson

It looks like I finally got my program to work for Gamma_1(N). Of course, there's still so much to do. I need to:
  1. implement characters other than the trivial one

  2. modify it to work over \bar{\FF_{\ell}} instead of \CC

  3. finish implementing support for Gamma_1(N) intersect Gamma(p)

  4. maybe someday make it work for imaginary quadratic fields other than \QQ(i)

That's just for my code. Then I need to go back to actually formulating this conjecture and I also need to come up with Galois representations corresponding to the modular forms I will hopefully find.

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