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Tag Archives: Inverse Galois Problem
Dembélé on Abelian Surfaces with good reduction everywhere
New paper by Dembélé (friend of the blog) on abelian surfaces with good reduction everywhere (or rather, the lack of them for many real quadratic fields of small discriminant). I have nothing profound to say about the question of which … Continue reading
Central Extensions, Updated
I previously mentioned a problem concerning polynomials, whose motivation came from thinking about weight one forms and the inverse Galois problem for finite subgroups of I still like the polynomial problem, but I realized that I was confused about the … Continue reading
Posted in Mathematics
Tagged A5, Darstellungsgruppe, Inverse Galois Problem, Trivialities
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Prime divisors of polynomials
A heuristic model from the last post suggests that the “expected” order of the Galois group associated to a weight one modular form of projective type is infinite. And when one tries to solve the inverse Galois problem for central … Continue reading
Posted in Mathematics
Tagged Central Extensions, Inverse Galois Problem, Polynomials, Sieving
5 Comments
Inverse Galois Problems II
David Zywina was in town today to talk about a follow up to his previous results mentioned previously on this blog. This time, he talked about his construction of Galois groups which were simple of orthogonal type, in particular, the … Continue reading
Posted in Mathematics
Tagged David Zywina, George Boxer, Hodge Numbers, HodgeTate, Inverse Galois Problem, Siegel Modular Forms, Stefan Patrikis
1 Comment
Inverse Galois Problem
My favourite group as far as the inverse Galois problem goes is . This is not known to be a Galois group over for any , the difficulty of course being that is must correspond to an even Galois representation. … Continue reading
Posted in Mathematics
Tagged David Zywina, Galois Representations, Inverse Galois Problem, PSL(2), SL(2)
9 Comments