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www.galoisrepresentations.com | ||
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mattbaker.blog
In my previous post, I presented a proof of the existence portion of the structure theorem for finitely generated modules over a PID based on the Smith Normal Form of a matrix. In this post, I'd like to explain how the uniqueness portion of that theorem is actually a special case of a more general... |
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totallydisconnected.wordpress.com
$latex \bullet$ Let $latex f$ be some cuspidal Hecke eigenform, with associated Galois representation $latex \rho_{f}:G_{\mathbf{Q}}\to \mathrm{GL}_2(\overline{\mathbf{Q}_p})$. A notorious conjecture of Greenberg asserts that if $latex \rho_{f}|G_{\mathbf{Q}_p}$ is abelian (i.e. is a direct sum of characters), then $latex f$ is a CM form, or equivalently $latex \rho_f$ is induced from a character. At some point... |
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gilkalai.wordpress.com
Topology Quasi-polynomial algorithms for telling if a knot is trivial Marc Lackenby announced a quasi-polynomial time algorithm to decide whether a given knot is the unknot! This is a big breakthrough. This question is known to be both in NP and in coNP. See this post, and updates there in the comment section. Topology seminar,... |
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jao.io
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