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quomodocumque.wordpress.com | ||
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divisbyzero.com
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| | | | | [AI summary] The author announces the release of a new book on mathematical history, shares projects involving string art and paper folding related to the Fold-and-Cut Theorem, discusses recent knot theory research, and explains how to generate geometric fractals using Excel. | |
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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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polymathprojects.org
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| | | | | This post is meant to propose and discuss a polymath project and a sort of polymath project. I. A polymath proposal: Convex hulls of real algebraic varieties. One of the interesting questions regarding the polymath endeavor was: Can polymath be used to develop a theory/new area? My idea is to have a project devoted to... | |
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www.johndcook.com
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| | | Analogs of Euler's formula exp(ix) = cos(x) + i sin(x) in other number systems, namely dual numbers and double numbers. | ||
