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Images of semistable Galois representations. Special issue of the
Pacific Journal of Mathematics.
(English) Zbl 0942.11032

Aschbacher, Michael (ed.) et al., Olga Taussky-Todd: In memoriam. Cambridge, MA: International Press. Pac. J. Math., Spec. Issue, 277-297 (1998).
The author considers 2-dimensional irreducible mod \(p\) Galois representations \(\rho\) of the Galois group of \(\mathbb{Q}\) that are “semistable”. In this article the image of such representations is shown to be as large as possible (at least for \(p>3\)). This is then applied to studying mod \(p\) and \(p\)-adic representations arising from \(J_0(N)\), the latter under an assumption that \(p\) is unramified in the corresponding Hecke algebra. In a recent work the author has been able to ameliorate this condition.
For the entire collection see [Zbl 0889.00012].

MSC:

11F80 Galois representations
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