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quomodocumque.wordpress.com | ||
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www.galoisrepresentations.com
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| | | | | [AI summary] The blog post discusses a mathematical problem related to the surjectivity of certain maps in the context of Galois representations and modular forms. It references a conjecture about the structure of the mod-p deformation ring and its connection to the Hecke algebra. The author explores the implications of this conjecture on the properties of the deformation ring and its relation to the cohomology of arithmetic groups. The post also touches on the use of completed cohomology and the patched module in understanding these structures. The author acknowledges the complexity of the problem and the need for further research and collaboration to resolve it. | |
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walkingrandomly.com
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| | | | | I tend to keep an eye out for news relating to mathematical software and thought that I'd start sharing my monthly notebook with the world in case it proved to be useful to anyone else. If y... | |
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totallydisconnected.wordpress.com
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| | | | | $latex \bullet$ 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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zaries.wordpress.com
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| | | I upgraded to 17.04 beta a few days ago and I could swear that the UI perceptively faster than 16.10! Has anybody else experienced this, and do you know why if you have? | ||
